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The chromatic number of a graph g=(V,E) is the smallest integer k+ that satisfies f:V[k], ({u,v}Ef(u)f(v)), where [k] denotes the set {1,2,,k}. For each of
The chromatic number of a graph g=(V,E) is the smallest integer k+ that satisfies f:V[k], ({u,v}Ef(u)f(v)), where [k] denotes the set {1,2,,k}. For each of the following graphs, what is its chromatic number? Justify your answer.
- g1=(V1,E1) where V1={1,2,,n} and E1=.
- g2=(V2,E2) where V2={1,2,,n} and E2={{i,j}|i,jV2,ij}.
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