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DM - Grand Test -Q12


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+1 vote

Let K_{A,B} be the complete bipartite graph with A and B being the two parts, and let |A| = 10, |B| = 17, and Let u, v \in A be two different vertices in A part, Add to K_{A,B} a new edge by making u and v adjacent to get a new graph G. The chromatic number of this new Graph G is ________?

asked Aug 30, 2020 by gbeditor-2 (72,840 points)
reshown Aug 31, 2020 by gbeditor-2

1 Answer

+1 vote
 
Best answer
since K a,b  is a complete bipartite graph its chromatic number is 2 . now if we join two vertices on same side we need one more colour to properly colour it (one of these vertices will be assigned a new colour) .

Hence ans is 3
answered Sep 7, 2020 by (18,750 points)
edited Sep 7, 2020 by deepak-gatebook
Answer:

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