What is the number of vertices in an undirected connected graph with 39 edges, 7 vertices of degree 2, 2 vertices of degree 5 and remaining of degree 6?(a) 11(b) 14(c) 18(d) 19This question was addressed to me during an interview for a job.The query is from Complete and Connected Graphs in division Graphs of Discrete Mathematics

What is the number of vertices in an undirected connected graph with 3

1.	What is the number of vertices in an undirected connected graph with 39 edges, 7 vertices of degree 2, 2 vertices of degree 5 and remaining of degree 6?(a) 11(b) 14(c) 18(d) 19This question was addressed to me during an interview for a job.The query is from Complete and Connected Graphs in division Graphs of Discrete Mathematics
Answer» Right CHOICE is (c) 18 For explanation I WOULD say: We know that, sum of degree of all the vertices = 2 * number of edges 27 + 52 + 6x = 392 x=9 Number of vertices = 7 + 2 + 9 = 18.

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