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 23(2) (2003) 383-391
DOI: 10.7151/dmgt.1208


V.I. Trofimov

Institute of Mathematics and Mechanics
Russian Academy of Sciences
Ekaterinburg, Russia

To Professor Wilfried Imrich on the occasion of his 60th birthday


The growth function of a graph with respect to a vertex is near polynomial if there exists a polynomial bounding it above for infinitely many positive integers. In the paper vertex-symmetric undirected graphs and vertex-symmetric directed graphs with coinciding in- and out-degrees are described in the case their growth functions are near polynomial.

Keywords: vertex-symmetric graph; vertex-symmetric directed graph; near polynomial growth; multivalued mapping.

2000 Mathematics Subject Classification: 05C25, 20F65, 37Bxx, 58C06.


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Received 1 October 2001
Revised 15 February 2002