International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 497-502
doi:10.1155/S0161171294000736

A proof of some Schützenberger-type results for Eulerian paths and circuits on digraphs

Byoung-Song Chwe

Department of Mathematics, University of Alabama, Tuscaloosa 35486, Alabama, USA

Abstract

This paper shows that the number of even Eulerian paths equals the number of odd Eulerian paths when the number of arcs is at least twice the number of vertices of a digraph.