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Question 1 What is the chromatic number of K 5 e ? of K 5 ? ? e ? What is the number of acyclic

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1

What is the chromatic number of

\frac{K_{5}}{e} ?

\frac{K_{5}}{\frac{?}{?}} e ?

What is the number of acyclic orientations on

C_{n}

plus an edge?

Take a bipartite graph and contract an edge. Is it still necessarily

bipartite?

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