The growth of limits of vertex replacement rules

Joseph Previte; Michelle Previte; Mary Vanderschoot

doi:10.1002/jgt.21660

The growth of limits of vertex replacement rules

Joseph Previte
, Michelle Previte
, Mary Vanderschoot

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we give conditions to distinguish whether a vertex replacement rule given by a single graph H yields a limit graph having polynomial or exponential growth. In the case of polynomial growth, we compute the growth degree of the limit graph.

Original language	English (US)
Pages (from-to)	103-117
Number of pages	15
Journal	Journal of Graph Theory
Volume	73
Issue number	1
DOIs	https://doi.org/10.1002/jgt.21660
State	Published - May 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1002/jgt.21660

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title = "The growth of limits of vertex replacement rules",

abstract = "In this article, we give conditions to distinguish whether a vertex replacement rule given by a single graph H yields a limit graph having polynomial or exponential growth. In the case of polynomial growth, we compute the growth degree of the limit graph.",

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The growth of limits of vertex replacement rules

Abstract

All Science Journal Classification (ASJC) codes

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