Discussiones Mathematicae Graph Theory 30(2) (2010) 277-288
doi: 10.7151/dmgt.1494

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RANDOM PROCEDURES FOR DOMINATING SETS IN BIPARTITE GRAPHS

Sarah Artmann  and  Jochen Harant

Institut für Mathematik, TU Ilmenau
Postfach 100565, D-98684 Ilmenau, Germany
e-mails: {sarah.artmann,jochen.harant}@tu-ilmenau.de

Abstract

Using multilinear functions and random procedures, new upper bounds on the domination number of a bipartite graph in terms of the cardinalities and the minimum degrees of the two colour classes are established.

Keywords: domination, bipartite graph, multilinear function, random procedure.

2010 Mathematics Subject Classification: 05C69.

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Received 12 November 2008
Revised 10 August 2009
Accepted 9 November 2009