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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
ZUP - University of Primorska Press
COBISS
University of Primorska, University Library - all departments
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Title:
Hamilton paths and cycles in vertex-transitive graphs of order 6p
Authors:
ID
Kutnar, Klavdija
(Author)
ID
Šparl, Primož
(Author)
Files:
http://dx.doi.org/10.1016/j.disc.2008.12.005
Language:
English
Work type:
Not categorized
Typology:
1.01 - Original Scientific Article
Organization:
IAM - Andrej Marušič Institute
Abstract:
It is shown that every connected vertex-transitive graph of order
6
p
, where
p
is a prime, contains a Hamilton path. Moreover, it is shown that, except for the truncation of the Petersen graph, every connected vertex-transitive graph of order
6
p
which is not genuinely imprimitive contains a Hamilton cycle.
Keywords:
graph theory
,
vertex-transitive
,
Hamilton cycle
,
Hamilton path
,
automorphism group
Year of publishing:
2009
Number of pages:
str. 5444-5460
Numbering:
Vol. 309, iss. 17
PID:
20.500.12556/RUP-3085
ISSN:
0012-365X
UDC:
519.17
COBISS.SI-ID:
1024053332
Publication date in RUP:
15.10.2013
Views:
4120
Downloads:
42
Metadata:
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:
KUTNAR, Klavdija and ŠPARL, Primož, 2009, Hamilton paths and cycles in vertex-transitive graphs of order 6p. [online]. 2009. Vol. 309, no. 17, p. 5444–5460. [Accessed 19 March 2025]. Retrieved from: http://dx.doi.org/10.1016/j.disc.2008.12.005
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Secondary language
Language:
English
Keywords:
teorija grafov
,
tranzitivnost
,
Hamiltonov cikel
,
Hamiltonova pot
,
grupa avtomorfizmov
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