Discussiones Mathematicae Graph Theory 29(3) (2009) 511-519
doi: 10.7151/dmgt.1461

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MINIMUM CONGESTION SPANNING TREES OF GRIDS AND DISCRETE TORUSES

Alberto Castejón

Department of Applied Mathematics I
Higher Technical School of Telecommunications Engineering (ETSIT)
Universidad de Vigo Lagoas-Marcosende
36200 Vigo (Pontevedra), Spain
e-mail: acaste@uvigo.es

Mikhail I. Ostrovskii

Department of Mathematics and Computer Science
St. John's University
8000 Utopia Parkway, Queens, NY 11439, USA
e-mail: ostrovsm@stjohns.edu

Abstract

The paper is devoted to estimates of the spanning tree congestion for grid graphs and discrete toruses of dimensions two and three.

Keywords: minimum congestion spanning tree, grid graph, discrete torus.

2000 Mathematics Subject Classification: Primary: 05C05;
Secondary: 05C35.

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Received 28 February 2008
Accepted 30 September 2008