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If two cycle graphs Gm and Gn are joined together with a vertex, the number of spanning trees in the new graph is ______(a) m+n-1(b) m-n(c) m*n(d) m*n+1This question was posed to me in my homework.This question is from Trees in chapter Trees of Discrete Mathematics

Answer»

Correct option is (c) m*n

Easy EXPLANATION: As there are n possible EDGES to be removed from G and m edges to be removed from G and the rest from a spanning tree so the NUMBER of spanning tree in the new GRAPH is m*n.



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