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If G is the forest with 54 vertices and 17 connected components, G has _______ total number of edges.(a) 38(b) 37(c) 17/54(d) 17/53The question was asked in quiz.Question is taken from Graphs Properties topic in section Graphs of Discrete Mathematics |
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Answer» RIGHT option is (b) 37 The BEST explanation: Here we are given a forest with 54 vertices and 17 components. Acomponent is itself a tree and since there are 17 components means that every component has a root, therefore we have 17 ROOTS. Each new vertex of the forest contributes to a single edge to a forest. So for remaining 54-17 = 37 vertices we can have m-n=37 EDGES. HENCE, answer is 37. |
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