Article ID Journal Published Year Pages File Type
4651883 Electronic Notes in Discrete Mathematics 2015 6 Pages PDF
Abstract

We show that if T is a strongly 109k6log⁡(2k)-connected tournament, there exists a partition A, B of V(T) such that each of T[A], T[B] and T[A,B] is strongly k-connected. This provides tournament analogues of two partition conjectures of Thomassen regarding highly connected graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics