JT's

An Euler trail is a walk that uses every edge of a graph exactly once.An Euler circuit is a circuit that uses every edge of a graph exactly once.A Euler trail with same endpoints is a Euler circuit.Here are some examples:Letbe a finite connected graph and denote the number of vertices that have odd degrees.Prove that G has a Euler trail if and only if .First, by the Handshake Theorem, we can nar..