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______ is the maximum number of edges in an acyclic undirected graph with k vertices.

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______ is the maximum number of edges in an acyclic undirected graph with k vertices.

(a) k-1

(b) k^2

(c) 2k+3

(d) k^3+4

The question was asked in homework.

My enquiry is from Complete and Connected Graphs topic in section Graphs of Discrete Mathematics

1 Answer

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Best answer
The correct option is (a) k-1

The explanation is: This is possible with spanning trees since, a spanning tree with k nodes has k – 1 edges.

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