Improved Bounds for the Product of the Domination and Chromatic Numbers of a Graph

Y. Caro1, Y. Roditty2
1Department of Mathematics School of Education University of Haifa – ORANIM Tivon Isreal 36006
2School of Mathematical Sciences Tel-Aviv University Ramat- Aviv, Tel-Aviv Isreal 69978

Abstract

In this note we solve almost completely a problem raised by Topp and Volkmann [7] concerning the product of the domination and the chromatic numbers of a graph.