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-rw-r--r--graph-checker/src/theorems/forbidden.rs27
1 files changed, 27 insertions, 0 deletions
diff --git a/graph-checker/src/theorems/forbidden.rs b/graph-checker/src/theorems/forbidden.rs
new file mode 100644
index 0000000..615cdb1
--- /dev/null
+++ b/graph-checker/src/theorems/forbidden.rs
@@ -0,0 +1,27 @@
+use crate::Graph;
+
+pub fn theorem3_1(g: &Graph) -> bool {
+ let claw = Graph {
+ size: 4,
+ matrix: vec![
+ vec![0, 1, 1, 1],
+ vec![1, 0, 0, 0],
+ vec![1, 0, 0, 0],
+ vec![1, 0, 0, 0],
+ ],
+ };
+
+ let z1 = Graph {
+ size: 4,
+ matrix: vec![
+ vec![0, 1, 0, 0],
+ vec![1, 0, 1, 1],
+ vec![0, 1, 0, 1],
+ vec![0, 1, 1, 0],
+ ],
+ };
+
+ let forbidden = vec![claw, z1];
+
+ return g.is_2_connected() && g.is_free_of(&forbidden);
+}