(a) Prove the following claim: in every simple graph G on at least two vertices, we...

(a) Prove the following claim: in every simple graph G on at least two vertices, we can always ﬁnd two distinct vertices v,w such that deg(v) = deg(w).

(b) Prove the following claim: if G is a simple connected graph in which the degree of every vertex is even, then we can delete any edge from G and it will still be connected.

Expert Solution

Colby Messinger answered 2 years ago

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