Discrete Mathematics and Optimization Seminar

UniversitÚ Lyon I & CNRS
Monday September 29th at 4.30pm
Burnside 1205

Title. Colourings and Cycle Covers in Digraphs.

Abstract. In 1964, T. Gallai conjectured that the vertex set of any strong digraph D can be covered by alpha(D) directed circuits,
where alpha(D) denotes the stability number of D. We outline a recent proof of this conjecture by S. Bessy and S. ThomassÚ,
and discuss some related open questions.