Show that a graph G with n vertices can have at most n(n 1) 2 edges, and G has exactly n(n 1) 2 edges if G is complete, that is, if every pair of vertices of G is joined by an edge. (Recall that ...

Question

Show that a graph G with n vertices can have at most n(n   1) 2 edges, and G has exactly n(n   1) 2 edges if G is complete, that is, if every pair of vertices of G is joined by an edge. (Recall that loops and multiple edges are excluded.)...

Accepted Answer

Join v 1 to v 2          v n   then v 2 t   ...

Show that a graph G with n vertices can have

PROBLEM SET 23.2:

PROBLEM SET 23.3:

PROBLEM SET 23.4:

PROBLEM SET 23.5:

PROBLEM SET 23.6:

PROBLEM SET 23.7:

PROBLEM SET 23.8:

Review question:

Show that a graph G with n vertices can have

Answer

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Solution for problems in chapter 23

PROBLEM SET 23.1: