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RUP
FAMNIT  Faculty of Mathematics, Science and Information Technologies
FHŠ  Faculty of Humanities
FM  Faculty of Management
FTŠ Turistica  Turistica – College of Tourism Portorož
FVZ  Faculty of Health Sciences
IAM  Andrej Marušič Institute
PEF  Faculty of Education
UPR  University of Primorska
ZRS  Science and Research Centre
COBISS
Fakulteta za humanistične študije, Koper
Fakulteta za management Koper in Pedagoška fakulteta Koper
Fakulteta za vede o zdravju, Izola
Knjižnica za tehniko, medicino in naravoslovje, Koper
Turistica, Portorož
Znanstvenoraziskovalno središče Koper
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Title:
Distancetransitive graphs admit semiregular automorphisms
Authors:
Kutnar, Klavdija
(Author)
Šparl, Primož
(Author)
Files:
http://dx.doi.org/10.1016/j.ejc.2009.03.018
Language:
English
Work type:
Not categorized
Tipology:
1.01  Original Scientific Article
Organization:
IAM  Andrej Marušič Institute
Abstract:
A distancetransitive 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 anonidentity element having all cycles of equal length in its cycle decomposition. It is shown that every distancetransitive graph admits a semiregular automorphism.
Keywords:
distancetransitive graph
,
vertextransitive graph
,
semiregular automorphism
,
permutation group
Year of publishing:
2010
Number of pages:
str. 2528
Numbering:
Vol. 31, no. 1
ISSN:
01956698
UDC:
519.17
COBISS_ID:
1024085332
Views:
1701
Downloads:
57
Metadata:
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