Title

Disjoint Cycles in Directed Graphs on the Torus and the Klein Bottle

Document Type

Article

Publication Date

1-1-1993

Abstract

We give necessary and sufficient conditions for a directed graph embedded on the torus or the Klein bottle to contain pairwise disjoint circuits, each of a given orientation and homotopy, and in a given order. For the Klein bottle, the theorem is new. For the torus, the theorem was proved before by P. D. Seymour. This paper gives a shorter proof of that result. © 1993 by Academic Press, Inc.

Publication Source (Journal or Book title)

Journal of Combinatorial Theory, Series B

First Page

40

Last Page

45

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