On the fixing number of graphs with abelian automorphism group

J. Bradley; P. Dankelmann; D. Erwin; B. G. Rodrigues

On the fixing number of graphs with abelian automorphism group

J. Bradley
, P. Dankelmann
, D. Erwin
, B. G. Rodrigues

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

2 Citations (Scopus)

Abstract

The fixing number of a graph G is the cardinality of a smallest set of vertices of G that is not fixed by any non-trivial automorphism of G. In this paper we investigate the fixing number of finite graphs with abelian automorphism group.

Original language	English
Pages (from-to)	71-78
Number of pages	8
Journal	Utilitas Mathematica
Volume	86
Publication status	Published - Nov 2011
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

Cite this

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title = "On the fixing number of graphs with abelian automorphism group",

abstract = "The fixing number of a graph G is the cardinality of a smallest set of vertices of G that is not fixed by any non-trivial automorphism of G. In this paper we investigate the fixing number of finite graphs with abelian automorphism group.",

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AU - Bradley, J.

AU - Dankelmann, P.

AU - Erwin, D.

AU - Rodrigues, B. G.

PY - 2011/11

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AB - The fixing number of a graph G is the cardinality of a smallest set of vertices of G that is not fixed by any non-trivial automorphism of G. In this paper we investigate the fixing number of finite graphs with abelian automorphism group.

UR - https://www.scopus.com/pages/publications/81355124865

M3 - Article

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SN - 0315-3681

VL - 86

SP - 71

EP - 78

JO - Utilitas Mathematica

JF - Utilitas Mathematica

ER -

On the fixing number of graphs with abelian automorphism group

Abstract

ASJC Scopus subject areas

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