Select one of the following statements and explain why there is no example of the following:...

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Select one of the following statements and explain why there is no example of the following:...

Select one of the following statements and explain why there is no example of the following:

A graph of order 10 and size 46
A 7-regular graph of order 27.
A bipartite graph containing C7 as a subgraph.
Two isomorphic graphs, one of size 14 and the other of size 15.

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Answer 1

Answer #1

A bipartite graph containing C7 as a subgraph

Bipartite Graph: It is a type of graph in which the vertices are divided into two sets i.e., U and V. Elements that are in set U are mapped to the elements that are in the set V.

It is possible two draw the Graph Coloring for the even number of edged cycles. But it is not at all possible to colour the graph with odd cycles. So C7 is not possible to draw the Graph Coloring since 7 is an odd number.

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Answer 2

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