Discussiones Mathematicae Graph Theory 23(1) (2003) 163-175
doi: 10.7151/dmgt.1193

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UPPER BOUNDS FOR THE DOMINATION NUMBERS OF TOROIDAL QUEENS GRAPHS

Christina M. Mynhardt

Department of Mathematics
University of South Africa
P.O. Box 392 Unisa 0003 South Africa
e-mail: mynhacm@unisa.ac.za

Abstract

We determine upper bounds for γ(Qnt) and i(Qnt), the domination and independent domination numbers, respectively, of the graph Qnt obtained from the moves of queens on the n×n chessboard drawn on the torus.

Keywords: queens graph, toroidal chessboards, queens domination problem.

2000 Mathematics Subject Classification: 05C69.

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Received 2 October 2001
Revised 18 January 2002