ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory


Discussiones Mathematicae Graph Theory 22(2) (2002) 349-359
DOI: 10.7151/dmgt.1180


 Michael J. Dorfling

Department of Mathematics
Faculty of Science
Rand Afrikaans University
P.O. Box 524, Auckland Park, 2006 South Africa

Samantha Dorfling

Department of Mathematics and Applied Mathematics
Faculty of Science
University of the Free State
P.O. Box 339, Bloemfontein, 9300 South Africa


An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphisms. Let P and Q be hereditary properties of graphs. The generalized edge-chromatic number ρ′Q(P) is defined as the least integer n such that P ⊆ nQ. We investigate the generalized edge-chromatic numbers of the properties →H, ℑkOkW*kSk and Dk.

 Keywords: property of graphs, additive, hereditary, generalized edge-chromatic number.

 2000 Mathematics Subject Classification: 05C15.


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Received 13 June 2001
Revised 5 April 2002