ArticleOriginal scientific text

Title

Undirected and directed graphs with near polynomial growth

Authors 1

Affiliations

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

Abstract

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

Bibliography

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Pages:
383-391
Main language of publication
English
Received
2001-10-01
Accepted
2002-02-15
Published
2003
Exact and natural sciences