The Course name is Combinatorics.

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4. Let (21, 22, ..., Xn+1) be a closed walk, or cyclic walk, of length n in a graph G. We call it a closed walk if x1 = {n+1. Show that if n is odd then there is some odd number k so that the cyclic graph Ck embeds into G 4. Let (21, 22, ..., Xn+1) be a closed walk, or cyclic walk, of length n in a graph G. We call it a closed walk if x1 = {n+1. Show that if n is odd then there is some odd number k so that the cyclic graph Ck embeds into G