Consider a list of edges W {e,e2, ..., ek} defining a closed walk on simple graph...

 

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Consider a list of edges W {e₁,e2, ..., ek} defining a closed walk on simple graph G. If this walk contains no cycle graph Cn as an induced subgraph of the walk's vertex set, show that for some i < k: eį = li+1. Consider a list of edges W {e₁,e2, ..., ek} defining a closed walk on simple graph G. If this walk contains no cycle graph Cn as an induced subgraph of the walk's vertex set, show that for some i < k: eį = li+1.

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Assume that there exists a closed walk on a simple graph G defined by a list of edges W e1 e2 ek tha... View the full answer