Distance-transitive graphs admit semiregular automorphisms

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Title:	Distance-transitive graphs admit semiregular automorphisms
Authors:	ID Kutnar, Klavdija (Author) ID Šparl, Primož (Author)
Files:	http://dx.doi.org/10.1016/j.ejc.2009.03.018
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	A distance-transitive graph is a graph in which for every two ordered pairs ofvertices $(u,v)$ and $(u',v')$ such that the distance between $u$ and $v$ is equal to the distance between $u'$ and $v'$ there exists an automorphism of the graph mapping $u$ to $u'$ and $v$ to $v'$ . A semiregular element of a permutation group is anon-identity element having all cycles of equal length in its cycle decomposition. It is shown that every distance-transitive graph admits a semiregular automorphism.
Keywords:	distance-transitive graph, vertex-transitive graph, semiregular automorphism, permutation group
Year of publishing:	2010
Number of pages:	str. 25-28
Numbering:	Vol. 31, no. 1
PID:	20.500.12556/RUP-3766
ISSN:	0195-6698
UDC:	519.17
COBISS.SI-ID:	1024085332
Publication date in RUP:	15.10.2013
Views:	4345
Downloads:	101
Metadata:
:	KUTNAR, Klavdija and ŠPARL, Primož, 2010, Distance-transitive graphs admit semiregular automorphisms. [online]. 2010. Vol. 31, no. 1, p. 25–28. [Accessed 20 April 2025]. Retrieved from: http://dx.doi.org/10.1016/j.ejc.2009.03.018 Copy citation

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