ArticleOriginal scientific text
Title
Undirected and directed graphs with near polynomial growth
Authors 1
Affiliations
- 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
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