Isomorphic Antidirected Path Decompositions of Complete Symmetric Graphs

Tay-Woei Shyu1, Chiang Lin2
1Department of Banking and Finance Kai Nan University Lu-Chu, Tao-Yuan, Taiwan 338, R.O.C.
2Department of Mathematics National Central University Chung-Li, Taiwan 320, R.O.C.

Abstract

A path in a digraph is antidirected if the two adjacent edges of the path have opposing orientations. In this paper, we give a necessary and sufficient condition for the edges of the complete symmetric graph to be decomposed into isomorphic antidirected paths.