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.
Citation
Tay-Woei Shyu, Chiang Lin. Isomorphic Antidirected Path Decompositions of Complete Symmetric Graphs[J], Ars Combinatoria, Volume 061. 255-262. .