5. Let G at least 5. (V, E) be a simple k-regular graph with the property...

Transcribed Image Text:

5. Let G at least 5. (V, E) be a simple k-regular graph with the property that every cycle has length Prove that |V(G)| k + 1. Find such a graph with |V(G)| = k + 1 for k = 2 and k 3. (Hint: start with a vertex) - = = 5. Let G at least 5. (V, E) be a simple k-regular graph with the property that every cycle has length Prove that |V(G)| k + 1. Find such a graph with |V(G)| = k + 1 for k = 2 and k 3. (Hint: start with a vertex) - = =

Answer rating: 100% (QA)

To prove that in a simple kregular graph G with the property that every cycle has a length of at least 5 the minimum number of vertices VG is greater ... View the full answer