Biclique Partitions of the Complement of a Directed Cycle

D. A. Gregory1
1Department of Mathematics and Statistics Queen’s University Kingston, Ontario K7L 3N6 CANADA

Abstract

By a refinement of a rank argument used to prove a directed version of the Graham-Pollak theorem, we show that \(n\) bicliques are needed to partition the arc-set of the complement of a directed cycle.