Determine the edge count of a path complement graph with 14 vertices.(a) 502(b) 345(c) 78(d) 69This question was posed to me in an online quiz.I need to ask this question from Different Path in a Graph in section Graphs of Discrete Mathematics

Determine the edge count of a path complement graph with 14 vertices.(

1.	Determine the edge count of a path complement graph with 14 vertices.(a) 502(b) 345(c) 78(d) 69This question was posed to me in an online quiz.I need to ask this question from Different Path in a Graph in section Graphs of Discrete Mathematics
Answer» The correct answer is (c) 78 Explanation: LET, an n-path COMPLEMENT graph Pn’ is the graph complement of the path graph Pn. Since Pn is self-complementary, P4’is isomorphic to P4. Now, Pn’ has an EDGE COUNT = ^1⁄2(n-2)(n-1). So, the required edge count is=78.

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