Self-complementary graph - 1.10 Let G be a self-complementary graph of order n, where n=1(mod 4)
Prove that G contains at least one vertex of degree (n-1)/2
(hint: Prove the stronger result that G contains an odd number of ve ...
Directed Graphs and Trees - a. Is a directed graph weakly connected if there is a path from a to b and from b to a
whenever a and b are vertices in the graph?
b. If two trees have the same number of vertices and the same deg ...
Graphs, Vertices, Hamiltonian Circuits and Relations - Question for 8.1
Proof:
First, I show that the relation is symmetric. If holds, then there is an edge associate to the two vertices and . Since is a simple graph, then it is undirected. i ...