(1) Department of Combinatorics and Optimization, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(2) Eötvös Loránd Tudományegyetem, Matematikai Intézet, Múzeum Krt. 6-8, H-1088 Budapest, Hungary
Abstract:
Let the lines of a complete graph be 3-colored so that no triangle gets 3 different colors. If two of these colors form perfect graphs then so does the third.