If each and every vertex in G has degree at most 23 then G can have a vertex colouring of __________(a) 24(b) 23(c) 176(d) 54This question was posed to me during an online interview.Question is from Graphs Properties in section Graphs of Discrete Mathematics

If each and every vertex in G has degree at most 23 then G can have a

1.	If each and every vertex in G has degree at most 23 then G can have a vertex colouring of __________(a) 24(b) 23(c) 176(d) 54This question was posed to me during an online interview.Question is from Graphs Properties in section Graphs of Discrete Mathematics
Answer» Correct choice is (a) 24 Explanation: A vertex COLOURING of a graph G = (V’,E’) with m colours is a mapping F:V’ -> {1,…,m}such that f(u)!=f(v) for every (u,v) belongs to E’. SINCE in worst CASE the graph can be complete, d+1 colours are necessary for graph containing vertices with degree at most ‘d’. So, the required answer is 24.

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