From 940310cfd1cba340b2e3509dafccb980e101fb17 Mon Sep 17 00:00:00 2001
From: Andrew Guschin <guschin@altlinux.org>
Date: Wed, 30 Oct 2024 21:09:14 +0400
Subject: fix(nir): update tables with correct data

---
 nir/nir.tex | 378 ++++++++++++++++++++++++++++--------------------------------
 1 file changed, 176 insertions(+), 202 deletions(-)

(limited to 'nir/nir.tex')

diff --git a/nir/nir.tex b/nir/nir.tex
index 2a5a009..cd3e5bb 100644
--- a/nir/nir.tex
+++ b/nir/nir.tex
@@ -5,7 +5,7 @@
 \course{5}
 \group{531}
 \author{Гущина Андрея Юрьевича}
-\satitle{д.ф.-м.н., доцент}
+\satitle{д.ф.-м.н., профессор}
 \saname{М. Б. Абросимов}
 \date{2024}
 
@@ -349,8 +349,8 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline
-    1 & 8 & 1 & 1 & 0 & 0 & 0  \\ \hline
-    2 & 16 & 1 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 9 & 1 & 1 & 0 & 0 & 0  \\ \hline
+    2 & 15 & 1 & 0 & 0 & 0 & 0  \\ \hline
     3 & 5 & 0 & 0 & 0 & 0 & 0  \\ \hline
     4 & 1 & 0 & 0 & 0 & 0 & 0  \\ \hline
     5 & 1 & 0 & 0 & 0 & 0 & 0  \\ \hline
@@ -364,10 +364,10 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline
-    1 & 25 & 5 & 3 & 0 & 0 & 0 & 0  \\ \hline
-    2 & 66 & 11 & 7 & 2 & 0 & 0 & 0  \\ \hline
-    3 & 25 & 2 & 2 & 1 & 0 & 0 & 0  \\ \hline
-    4 & 5 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 26 & 5 & 3 & 0 & 0 & 0 & 0  \\ \hline
+    2 & 65 & 12 & 7 & 2 & 0 & 0 & 0  \\ \hline
+    3 & 22 & 1 & 2 & 1 & 0 & 0 & 0  \\ \hline
+    4 & 8 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     5 & 1 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     6 & 1 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
   \end{tabular}
@@ -380,11 +380,11 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline
-    1 & 59 & 20 & 8 & 2 & 0 & 0 & 0 & 0  \\ \hline
-    2 & 373 & 129 & 62 & 10 & 0 & 0 & 0 & 0  \\ \hline
-    3 & 210 & 48 & 26 & 1 & 0 & 0 & 0 & 0  \\ \hline
-    4 & 73 & 3 & 7 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    5 & 11 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 95 & 34 & 16 & 6 & 0 & 0 & 0 & 0  \\ \hline
+    2 & 437 & 145 & 72 & 6 & 0 & 0 & 0 & 0  \\ \hline
+    3 & 160 & 21 & 13 & 1 & 0 & 0 & 0 & 0  \\ \hline
+    4 & 28 & 0 & 2 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    5 & 6 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     6 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     7 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
   \end{tabular}
@@ -397,12 +397,12 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline
-    1 & 485 & 254 & 93 & 27 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    2 & 4569 & 2059 & 897 & 133 & 1 & 0 & 0 & 0 & 0  \\ \hline
-    3 & 1739 & 555 & 200 & 15 & 2 & 0 & 0 & 0 & 0  \\ \hline
-    4 & 801 & 206 & 78 & 2 & 1 & 0 & 0 & 0 & 0  \\ \hline
-    5 & 183 & 14 & 10 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    6 & 19 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 565 & 299 & 114 & 29 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    2 & 5171 & 2240 & 957 & 134 & 3 & 0 & 0 & 0 & 0  \\ \hline
+    3 & 1749 & 529 & 198 & 12 & 1 & 0 & 0 & 0 & 0  \\ \hline
+    4 & 261 & 21 & 9 & 2 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    5 & 44 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    6 & 6 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     7 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     8 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
   \end{tabular}
@@ -415,13 +415,13 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline
-    1 & 6110 & 4128 & 1279 & 379 & 23 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    2 & 108690 & 63700 & 20121 & 3381 & 150 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    3 & 34947 & 18494 & 5062 & 490 & 17 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    4 & 4074 & 1087 & 293 & 22 & 3 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    5 & 1307 & 360 & 84 & 3 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    6 & 395 & 34 & 8 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    7 & 25 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 6198 & 4196 & 1310 & 379 & 23 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    2 & 109660 & 64137 & 20190 & 3389 & 150 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    3 & 35432 & 18557 & 5054 & 488 & 19 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    4 & 3744 & 840 & 268 & 19 & 1 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    5 & 437 & 72 & 24 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    6 & 70 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    7 & 7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     8 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     9 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
   \end{tabular}
@@ -434,15 +434,15 @@ $fg(G)$. В первой колонке указаны возможные зна
   \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|}
   \hline
     $i(G)$ \textbackslash{} $fg(G)$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline
-    1 & 126042 & 105165 & 25873 & 8402 & 973 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    2 & 4305543 & 3337594 & 787147 & 164044 & 19062 & 11 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    3 & 1434656 & 1137131 & 237609 & 39140 & 3038 & 3 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    4 & 141618 & 72118 & 15646 & 1907 & 289 & 1 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    5 & 23836 & 12234 & 3025 & 258 & 20 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    6 & 2065 & 479 & 130 & 4 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    7 & 91 & 5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    1 & 128633 & 107399 & 26348 & 8563 & 996 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    2 & 4360884 & 3381726 & 796931 & 165666 & 19278 & 11 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    3 & 1434128 & 1135938 & 237113 & 38740 & 2989 & 3 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    4 & 100512 & 36441 & 8179 & 714 & 113 & 1 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    5 & 8700 & 3023 & 801 & 71 & 6 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    6 & 947 & 198 & 58 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    7 & 46 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     8 & 7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
-    9 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
+    9 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
     10 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\ \hline
   \end{tabular}
   \label{tbl:gr10}
@@ -486,7 +486,7 @@ $G_0 = \set{0, 1, 2}$, $G_1 = \set{3, 4, 5}$).
 
 \begin{figure}[h]
   \centering
-  \begin{tikzpicture}[scale=4]
+  \begin{tikzpicture}[scale=3]
       \draw
         (1.0, 0.0) node[line width=1.5, draw=black, circle] (0){0}
         (0.5, 0.866) node[line width=1.5, draw=black, circle] (1){1}
@@ -510,16 +510,9 @@ $G_0 = \set{0, 1, 2}$, $G_1 = \set{3, 4, 5}$).
   \caption{Визуализация графа <<EFzo>>}
   \label{fig:fg_even}
 \end{figure}
-
-Если $n$ --- нечётное, то $fg(G) = \lfloor \frac{n}{2} \rfloor$ только в том
-случае, если существует два минимальных геодезических
-множества мощности $(\lfloor \frac{n}{2} \rfloor + 1)$, пересекающихся в одной
-вершине (например, рис.
-\ref{fig:fg_odd}, где $G_0 = \set{0, 1, 2, 3}$, $G_1 = \set{0, 4, 5, 6}$).
-
 \begin{figure}[h]
   \centering
-  \begin{tikzpicture}[scale=4]
+  \begin{tikzpicture}[scale=3]
       \draw
         (1.0, 0.0) node[line width=1.5, draw=black, circle] (0){0}
         (0.623, 0.782) node[line width=1.5, draw=black, circle] (1){1}
@@ -548,19 +541,21 @@ $G_0 = \set{0, 1, 2}$, $G_1 = \set{3, 4, 5}$).
   \label{fig:fg_odd}
 \end{figure}
 
+Если $n$ --- нечётное, то $fg(G) = \lfloor \frac{n}{2} \rfloor$ только в том
+случае, если существует два минимальных геодезических
+множества мощности $(\lfloor \frac{n}{2} \rfloor + 1)$, пересекающихся в одной
+вершине (например, рис.
+\ref{fig:fg_odd}, где $G_0 = \set{0, 1, 2, 3}$, $G_1 = \set{0, 4, 5, 6}$).
+
+
 Помимо этого, можно увидеть, что при $fg(G) = 0$ значения $i(G)$ варьируются от
 1 до $n$. Очевидно, что у всех несвязных графов $fg(G) = 0$, поэтому они
 находятся только в этих колонках.
 
-Но при $fg(G) > 0$ значение $i(G) < (n - 2)$ (при $n > 4$).
-Необходимо отметить, что $i(G) = n$ может быть только в случае, если граф
-пустой. Но в пустом графе не может быть $fg(G) > 0$. Поэтому $i(G) = n$ и
-$fg(G) > 0$ не может быть ни у одного графа. $i(G) = 1$ при этом может быть
-только у полного графа. Но у полного графа минимальными геодезическими
-множествами являются любые две пары вершин. То есть ни в одной из таких пар нет
-уникальной вершины, находящейся только в этой паре. Таким образом, $fg(G) = 0$.
-Для всех остальных графов не может быть справедливо одновременно $i(G) = 1$ и
-$fg(G) > 0$.
+Но при $fg(G) > 0$ значение $i(G) < (n - 2)$ (при $n > 4$). Необходимо
+отметить, что $i(G) = n$ может быть только в случае, если граф пустой. Но в
+пустом графе не может быть $fg(G) > 0$. Поэтому $i(G) = n$ и $fg(G) > 0$ не
+может быть ни у одного графа.
 
 Рассмотрим случай с $i(G) = n - 2$. Получаем, что существует $n - 2$ вершины
 (обозначим множеством $V_i$), не смежные между собой и каждая из них смежна
@@ -612,9 +607,8 @@ $fg(G)$.
         \draw[line width=1.5] (1) to (3);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<C]>>, $i(G) = 2, fg(G) = 2$}
+  \caption{Визуализация графа <<C]>>, $i(G) = 2$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -635,9 +629,8 @@ $fg(G)$.
         \draw[line width=1.5] (3) to (4);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<D]\{>>, $i(G) = 2, fg(G) = 2$}
+  \caption{Визуализация графа <<D]\{>>, $i(G) = 1$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -656,9 +649,8 @@ $fg(G)$.
         \draw[line width=1.5] (4) to (5);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<E?bg>>, $i(G) = 4, fg(G) = 0$}
+  \caption{Визуализация графа <<E?bg>>, $i(G) = 2$, $fg(G) = 0$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -678,9 +670,8 @@ $fg(G)$.
         \draw[line width=1.5] (3) to (5);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<ECpo>>, $i(G) = 3, fg(G) = 1$}
+  \caption{Визуализация графа <<ECpo>>, $i(G) = 2$, $fg(G) = 1$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -705,9 +696,8 @@ $fg(G)$.
         \draw[line width=1.5] (5) to (6);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<F?rdw>>, $i(G) = 4, fg(G) = 2$}
+  \caption{Визуализация графа <<F?rdw>>, $i(G) = 4$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -743,9 +733,8 @@ $fg(G)$.
         \draw[line width=1.5] (5) to (6);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<F~~~w>>, $i(G) = 1, fg(G) = 0$}
+  \caption{Визуализация графа <<F~~~w>>, $i(G) = 1$, $fg(G) = 0$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -759,21 +748,13 @@ $fg(G)$.
         (0.0, -1.0) node[line width=1.5, draw=black, circle] (6){6}
         (0.707, -0.707) node[line width=1.5, draw=black, circle] (7){7};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (4);
-        \draw[line width=1.5] (0) to (5);
-        \draw[line width=1.5] (1) to (4);
+        \draw[line width=1.5] (0) to (7);
         \draw[line width=1.5] (1) to (7);
-        \draw[line width=1.5] (2) to (5);
-        \draw[line width=1.5] (2) to (6);
-        \draw[line width=1.5] (3) to (6);
-        \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (4) to (6);
-        \draw[line width=1.5] (5) to (7);
+        \draw[line width=1.5] (2) to (7);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<G?q`qg>>, $i(G) = 4, fg(G) = 4$}
+  \caption{Визуализация графа <<G???F?>>, $i(G) = 5$, $fg(G) = 0$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -787,24 +768,17 @@ $fg(G)$.
         (0.0, -1.0) node[line width=1.5, draw=black, circle] (6){6}
         (0.707, -0.707) node[line width=1.5, draw=black, circle] (7){7};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (3);
         \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (0) to (6);
-        \draw[line width=1.5] (1) to (4);
-        \draw[line width=1.5] (1) to (5);
         \draw[line width=1.5] (1) to (6);
-        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (2) to (6);
-        \draw[line width=1.5] (2) to (7);
-        \draw[line width=1.5] (3) to (5);
         \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (4) to (6);
         \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (5) to (7);
-        \draw[line width=1.5] (6) to (7);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<GCRvP\{>>, $i(G) = 3, fg(G) = 4$}
+  \caption{Визуализация графа <<G?AFAw>>, $i(G) = 2$, $fg(G) = 1$}
 \end{figure}
 
 \begin{figure}[h]
@@ -820,22 +794,19 @@ $fg(G)$.
         (0.0, -1.0) node[line width=1.5, draw=black, circle] (6){6}
         (0.707, -0.707) node[line width=1.5, draw=black, circle] (7){7};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (3);
-        \draw[line width=1.5] (0) to (6);
-        \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (0) to (4);
+        \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (1) to (4);
-        \draw[line width=1.5] (1) to (6);
         \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (2) to (5);
         \draw[line width=1.5] (2) to (6);
-        \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (3) to (6);
         \draw[line width=1.5] (3) to (7);
         \draw[line width=1.5] (4) to (6);
         \draw[line width=1.5] (5) to (7);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<GCOfvg>>, $i(G) = 3, fg(G) = 2$}
+  \caption{Визуализация графа <<G?q`qg>>, $i(G) = 3$, $fg(G) = 4$}
 \end{figure}
 
 \begin{figure}[h]
@@ -851,14 +822,23 @@ $fg(G)$.
         (0.0, -1.0) node[line width=1.5, draw=black, circle] (6){6}
         (0.707, -0.707) node[line width=1.5, draw=black, circle] (7){7};
       \begin{scope}[-]
+        \draw[line width=1.5] (0) to (3);
+        \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (1) to (4);
+        \draw[line width=1.5] (1) to (6);
         \draw[line width=1.5] (1) to (7);
+        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (2) to (6);
         \draw[line width=1.5] (2) to (7);
+        \draw[line width=1.5] (3) to (6);
+        \draw[line width=1.5] (3) to (7);
+        \draw[line width=1.5] (4) to (6);
+        \draw[line width=1.5] (5) to (7);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<G???F?>>, $i(G) = 7, fg(G) = 0$}
+  \caption{Визуализация графа <<GCOfvg>>, $i(G) = 2$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -872,19 +852,25 @@ $fg(G)$.
         (0.0, -1.0) node[line width=1.5, draw=black, circle] (6){6}
         (0.707, -0.707) node[line width=1.5, draw=black, circle] (7){7};
       \begin{scope}[-]
+        \draw[line width=1.5] (0) to (3);
         \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (0) to (6);
+        \draw[line width=1.5] (1) to (4);
+        \draw[line width=1.5] (1) to (5);
         \draw[line width=1.5] (1) to (6);
-        \draw[line width=1.5] (1) to (7);
+        \draw[line width=1.5] (2) to (5);
         \draw[line width=1.5] (2) to (6);
+        \draw[line width=1.5] (2) to (7);
+        \draw[line width=1.5] (3) to (5);
         \draw[line width=1.5] (3) to (7);
+        \draw[line width=1.5] (4) to (6);
         \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (5) to (7);
+        \draw[line width=1.5] (6) to (7);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<G?AFAw>>, $i(G) = 5, fg(G) = 1$}
+  \caption{Визуализация графа <<GCRvP\{>>, $i(G) = 2$, $fg(G) = 4$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -899,38 +885,25 @@ $fg(G)$.
         (0.174, -0.985) node[line width=1.5, draw=black, circle] (7){7}
         (0.766, -0.643) node[line width=1.5, draw=black, circle] (8){8};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (2);
-        \draw[line width=1.5] (0) to (4);
-        \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (7);
         \draw[line width=1.5] (0) to (8);
-        \draw[line width=1.5] (1) to (3);
-        \draw[line width=1.5] (1) to (4);
-        \draw[line width=1.5] (1) to (6);
         \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (2) to (4);
-        \draw[line width=1.5] (2) to (5);
-        \draw[line width=1.5] (2) to (6);
         \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (2) to (8);
-        \draw[line width=1.5] (3) to (5);
-        \draw[line width=1.5] (3) to (6);
         \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (4) to (5);
-        \draw[line width=1.5] (4) to (6);
+        \draw[line width=1.5] (3) to (8);
+        \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (4) to (8);
         \draw[line width=1.5] (5) to (7);
         \draw[line width=1.5] (5) to (8);
-        \draw[line width=1.5] (6) to (7);
         \draw[line width=1.5] (6) to (8);
         \draw[line width=1.5] (7) to (8);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<HQy~vnn>>, $i(G) = 2, fg(G) = 3$}
+  \caption{Визуализация графа <<H??CFz~>>, $i(G) = 1$, $fg(G) = 1$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -965,9 +938,8 @@ $fg(G)$.
         \draw[line width=1.5] (7) to (8);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<HQhTVbd>>, $i(G) = 2, fg(G) = 2$}
+  \caption{Визуализация графа <<HQhTVbd>>, $i(G) = 2$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -982,26 +954,37 @@ $fg(G)$.
         (0.174, -0.985) node[line width=1.5, draw=black, circle] (7){7}
         (0.766, -0.643) node[line width=1.5, draw=black, circle] (8){8};
       \begin{scope}[-]
+        \draw[line width=1.5] (0) to (2);
+        \draw[line width=1.5] (0) to (4);
+        \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (7);
         \draw[line width=1.5] (0) to (8);
+        \draw[line width=1.5] (1) to (3);
+        \draw[line width=1.5] (1) to (4);
+        \draw[line width=1.5] (1) to (6);
         \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
+        \draw[line width=1.5] (2) to (4);
+        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (2) to (6);
         \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (2) to (8);
+        \draw[line width=1.5] (3) to (5);
+        \draw[line width=1.5] (3) to (6);
         \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (3) to (8);
-        \draw[line width=1.5] (4) to (7);
+        \draw[line width=1.5] (4) to (5);
+        \draw[line width=1.5] (4) to (6);
         \draw[line width=1.5] (4) to (8);
         \draw[line width=1.5] (5) to (7);
         \draw[line width=1.5] (5) to (8);
+        \draw[line width=1.5] (6) to (7);
         \draw[line width=1.5] (6) to (8);
         \draw[line width=1.5] (7) to (8);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<H??CFz~>>, $i(G) = 6, fg(G) = 1$}
+  \caption{Визуализация графа <<HQy~vnn>>, $i(G) = 2$, $fg(G) = 3$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1019,9 +1002,8 @@ $fg(G)$.
       \begin{scope}[-]
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I????????>>, $i(G) = 10, fg(G) = 0$}
+  \caption{Визуализация графа <<I????????>>, $i(G) = 10$, $fg(G) = 0$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1037,25 +1019,23 @@ $fg(G)$.
         (0.309, -0.951) node[line width=1.5, draw=black, circle] (8){8}
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (5);
-        \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (7);
-        \draw[line width=1.5] (1) to (5);
+        \draw[line width=1.5] (0) to (8);
+        \draw[line width=1.5] (0) to (9);
+        \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (2) to (6);
-        \draw[line width=1.5] (2) to (7);
-        \draw[line width=1.5] (2) to (8);
-        \draw[line width=1.5] (3) to (8);
-        \draw[line width=1.5] (5) to (7);
+        \draw[line width=1.5] (1) to (9);
+        \draw[line width=1.5] (2) to (9);
+        \draw[line width=1.5] (3) to (9);
+        \draw[line width=1.5] (4) to (9);
         \draw[line width=1.5] (5) to (9);
         \draw[line width=1.5] (6) to (9);
         \draw[line width=1.5] (7) to (9);
         \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I?BDDHo@w>>, $i(G) = 4, fg(G) = 0$}
+  \caption{Визуализация графа <<I???EB?~w>>, $i(G) = 1$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1071,25 +1051,25 @@ $fg(G)$.
         (0.309, -0.951) node[line width=1.5, draw=black, circle] (8){8}
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (5);
-        \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (8);
-        \draw[line width=1.5] (1) to (5);
+        \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (2) to (6);
-        \draw[line width=1.5] (3) to (6);
-        \draw[line width=1.5] (4) to (7);
+        \draw[line width=1.5] (2) to (8);
+        \draw[line width=1.5] (2) to (9);
+        \draw[line width=1.5] (3) to (8);
+        \draw[line width=1.5] (3) to (9);
         \draw[line width=1.5] (4) to (8);
-        \draw[line width=1.5] (5) to (7);
+        \draw[line width=1.5] (4) to (9);
+        \draw[line width=1.5] (5) to (8);
         \draw[line width=1.5] (5) to (9);
         \draw[line width=1.5] (6) to (9);
         \draw[line width=1.5] (7) to (9);
         \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I?B@cZG@w>>, $i(G) = 4, fg(G) = 1$}
+  \caption{Визуализация графа <<I??CAB\{Nw>>, $i(G) = 3$, $fg(G) = 2$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1105,33 +1085,20 @@ $fg(G)$.
         (0.309, -0.951) node[line width=1.5, draw=black, circle] (8){8}
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (3);
-        \draw[line width=1.5] (0) to (6);
-        \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (0) to (5);
         \draw[line width=1.5] (0) to (8);
-        \draw[line width=1.5] (1) to (4);
-        \draw[line width=1.5] (1) to (5);
         \draw[line width=1.5] (1) to (6);
-        \draw[line width=1.5] (1) to (7);
-        \draw[line width=1.5] (2) to (4);
-        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (1) to (8);
+        \draw[line width=1.5] (1) to (9);
         \draw[line width=1.5] (2) to (7);
-        \draw[line width=1.5] (2) to (8);
-        \draw[line width=1.5] (3) to (6);
+        \draw[line width=1.5] (2) to (9);
         \draw[line width=1.5] (3) to (8);
-        \draw[line width=1.5] (4) to (5);
-        \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (4) to (9);
         \draw[line width=1.5] (5) to (9);
-        \draw[line width=1.5] (6) to (8);
-        \draw[line width=1.5] (6) to (9);
-        \draw[line width=1.5] (7) to (9);
-        \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<ICXmfQqBw>>, $i(G) = 2, fg(G) = 1$}
+  \caption{Визуализация графа <<I?AA@BOZ?>>, $i(G) = 4$, $fg(G) = 1$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1148,20 +1115,29 @@ $fg(G)$.
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
         \draw[line width=1.5] (0) to (5);
-        \draw[line width=1.5] (0) to (8);
+        \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (0) to (9);
         \draw[line width=1.5] (1) to (6);
+        \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
         \draw[line width=1.5] (1) to (9);
-        \draw[line width=1.5] (2) to (7);
+        \draw[line width=1.5] (2) to (6);
+        \draw[line width=1.5] (2) to (8);
         \draw[line width=1.5] (2) to (9);
-        \draw[line width=1.5] (3) to (8);
+        \draw[line width=1.5] (3) to (7);
+        \draw[line width=1.5] (3) to (9);
+        \draw[line width=1.5] (4) to (8);
         \draw[line width=1.5] (4) to (9);
+        \draw[line width=1.5] (5) to (8);
         \draw[line width=1.5] (5) to (9);
+        \draw[line width=1.5] (6) to (7);
+        \draw[line width=1.5] (6) to (9);
+        \draw[line width=1.5] (7) to (8);
+        \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I?AA@BOZ?>>, $i(G) = 5, fg(G) = 1$}
+  \caption{Визуализация графа <<I?ABEdl~g>>, $i(G) = 2$, $fg(G) = 4$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1178,30 +1154,23 @@ $fg(G)$.
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
         \draw[line width=1.5] (0) to (5);
+        \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (7);
-        \draw[line width=1.5] (0) to (9);
-        \draw[line width=1.5] (1) to (6);
-        \draw[line width=1.5] (1) to (7);
+        \draw[line width=1.5] (1) to (5);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (1) to (9);
         \draw[line width=1.5] (2) to (6);
+        \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (2) to (8);
-        \draw[line width=1.5] (2) to (9);
-        \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (3) to (9);
-        \draw[line width=1.5] (4) to (8);
-        \draw[line width=1.5] (4) to (9);
-        \draw[line width=1.5] (5) to (8);
+        \draw[line width=1.5] (3) to (8);
+        \draw[line width=1.5] (5) to (7);
         \draw[line width=1.5] (5) to (9);
-        \draw[line width=1.5] (6) to (7);
         \draw[line width=1.5] (6) to (9);
-        \draw[line width=1.5] (7) to (8);
+        \draw[line width=1.5] (7) to (9);
         \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I?ABEdl~g>>, $i(G) = 5, fg(G) = 4$}
+  \caption{Визуализация графа <<I?BDDHo@w>>, $i(G) = 3$, $fg(G) = 0$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1218,30 +1187,23 @@ $fg(G)$.
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
         \draw[line width=1.5] (0) to (5);
-        \draw[line width=1.5] (0) to (6);
+        \draw[line width=1.5] (0) to (7);
         \draw[line width=1.5] (0) to (8);
         \draw[line width=1.5] (1) to (5);
-        \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (2) to (5);
-        \draw[line width=1.5] (2) to (7);
-        \draw[line width=1.5] (2) to (9);
+        \draw[line width=1.5] (2) to (6);
         \draw[line width=1.5] (3) to (6);
-        \draw[line width=1.5] (3) to (7);
-        \draw[line width=1.5] (3) to (9);
-        \draw[line width=1.5] (4) to (6);
+        \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (4) to (8);
-        \draw[line width=1.5] (4) to (9);
         \draw[line width=1.5] (5) to (7);
-        \draw[line width=1.5] (5) to (8);
-        \draw[line width=1.5] (6) to (8);
+        \draw[line width=1.5] (5) to (9);
         \draw[line width=1.5] (6) to (9);
         \draw[line width=1.5] (7) to (9);
+        \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I?BcrjMMo>>, $i(G) = 5, fg(G) = 5$}
+  \caption{Визуализация графа <<I?B@cZG@w>>, $i(G) = 3$, $fg(G) = 1$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1257,24 +1219,30 @@ $fg(G)$.
         (0.309, -0.951) node[line width=1.5, draw=black, circle] (8){8}
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
-        \draw[line width=1.5] (0) to (7);
+        \draw[line width=1.5] (0) to (5);
+        \draw[line width=1.5] (0) to (6);
         \draw[line width=1.5] (0) to (8);
-        \draw[line width=1.5] (0) to (9);
+        \draw[line width=1.5] (1) to (5);
         \draw[line width=1.5] (1) to (7);
         \draw[line width=1.5] (1) to (8);
-        \draw[line width=1.5] (1) to (9);
+        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (2) to (9);
+        \draw[line width=1.5] (3) to (6);
+        \draw[line width=1.5] (3) to (7);
         \draw[line width=1.5] (3) to (9);
+        \draw[line width=1.5] (4) to (6);
+        \draw[line width=1.5] (4) to (8);
         \draw[line width=1.5] (4) to (9);
-        \draw[line width=1.5] (5) to (9);
+        \draw[line width=1.5] (5) to (7);
+        \draw[line width=1.5] (5) to (8);
+        \draw[line width=1.5] (6) to (8);
         \draw[line width=1.5] (6) to (9);
         \draw[line width=1.5] (7) to (9);
-        \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I???EB?~w>>, $i(G) = 7, fg(G) = 2$}
+  \caption{Визуализация графа <<I?BcrjMMo>>, $i(G) = 2$, $fg(G) = 5$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1290,26 +1258,32 @@ $fg(G)$.
         (0.309, -0.951) node[line width=1.5, draw=black, circle] (8){8}
         (0.809, -0.588) node[line width=1.5, draw=black, circle] (9){9};
       \begin{scope}[-]
+        \draw[line width=1.5] (0) to (3);
         \draw[line width=1.5] (0) to (6);
+        \draw[line width=1.5] (0) to (7);
         \draw[line width=1.5] (0) to (8);
+        \draw[line width=1.5] (1) to (4);
+        \draw[line width=1.5] (1) to (5);
+        \draw[line width=1.5] (1) to (6);
         \draw[line width=1.5] (1) to (7);
-        \draw[line width=1.5] (1) to (8);
+        \draw[line width=1.5] (2) to (4);
+        \draw[line width=1.5] (2) to (5);
+        \draw[line width=1.5] (2) to (7);
         \draw[line width=1.5] (2) to (8);
-        \draw[line width=1.5] (2) to (9);
+        \draw[line width=1.5] (3) to (6);
         \draw[line width=1.5] (3) to (8);
-        \draw[line width=1.5] (3) to (9);
-        \draw[line width=1.5] (4) to (8);
+        \draw[line width=1.5] (4) to (5);
+        \draw[line width=1.5] (4) to (7);
         \draw[line width=1.5] (4) to (9);
-        \draw[line width=1.5] (5) to (8);
         \draw[line width=1.5] (5) to (9);
+        \draw[line width=1.5] (6) to (8);
         \draw[line width=1.5] (6) to (9);
         \draw[line width=1.5] (7) to (9);
         \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<I??CAB\{Nw>>, $i(G) = 6, fg(G) = 2$}
+  \caption{Визуализация графа <<ICXmfQqBw>>, $i(G) = 2$, $fg(G) = 1$}
 \end{figure}
-
 \begin{figure}[h]
   \centering
   \begin{tikzpicture}[scale=4]
@@ -1353,7 +1327,7 @@ $fg(G)$.
         \draw[line width=1.5] (8) to (9);
       \end{scope}
     \end{tikzpicture}
-  \caption{Визуализация графа <<IEhuTxyFw>>, $i(G) = 2, fg(G) = 3$}
+  \caption{Визуализация графа <<IEhuTxyFw>>, $i(G) = 2$, $fg(G) = 3$}
 \end{figure}
 
 \conclusion
-- 
cgit v1.2.3

