Groupe d’études et de recherche en analyse des décisions


A Survey of Nordhaus-Gaddum Type Relations


In 1956, Nordhaus and Gaddum gave lower and upper bounds on the sum and the product of the chromatic number of a graph and its complement, in terms of the order of the graph. Since then, relations of a similar type have been proposed for many other graph invariants, in several hundred papers. We present a survey on this research endeavor.

, 108 pages

Ce cahier a été révisé en décembre 2011