Course Solutions Uncategorized (Solved) : Chromatic Number Graph G V E Smallest Integer K Satisfies F V K U V E F U F V K Denotes Se Q34326796 . . . .

(Solved) : Chromatic Number Graph G V E Smallest Integer K Satisfies F V K U V E F U F V K Denotes Se Q34326796 . . . .

 

The chromatic number of a graph g=(V,E) is the smallestinteger k∈ℤ+ that satisfies
∃f:V→[k], ({u,v}∈E→f(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.

  1. g1=(V1,E1) where V1={1,2,…,n} and E1=∅.
  2. g2=(V2,E2) where V2={1,2,…,n} and E2={{i,j}|i,j∈V2,i≠j}.

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