Article ID Journal Published Year Pages File Type
4651689 Electronic Notes in Discrete Mathematics 2015 6 Pages PDF
Abstract

Along with a result of Niessen of 1994, a conjecture proposed by Hilton and Chetwynd of 1986 implies that the chromatic index of graphs with Δ≥n/2 can be determined in linear time. Connected cographs satisfy Δ≥n/2, however whether the conjecture holds for cographs is still unknown. This paper presents sufficient conditions for cographs and join graphs to be Class 1.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics