Answer to Question #114720 in Discrete Mathematics for Philasande Hlwempu

Question

How can one prove a hamiltonian circuit?

Answer 1

A cycle that uses every vertex in a graph exactly once is called a Hamilton cycle, and a path that uses every vertex in a graph exactly once is called a Hamilton path. The key to a successful condition sufficient to guarantee the existence of a Hamilton cycle is to require many edges at lots of vertices.