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  3. (a) prove the following claim: in every simple gra

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

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Advance Math

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

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

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