Graph Theory (b) Prove that G = K2,12 is…

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Graph Theory

(b) Prove that G = K2,12 is planar by drawing G without any edge crossings.

(c) Give an example of a graph G whose chromatic number is 3, but that contains no K3 as a subgraph. You must prove that your graph actually has chromatic number 3.

(d) True or False(circle one):Let G be a simple graph with degree sequence 7,7,7,7,7,7. Then G is planar.

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