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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:
Classification of edge-transitive rose window graphs
Authors:
ID
Kovács, István
(Author)
ID
Kutnar, Klavdija
(Author)
ID
Marušič, Dragan
(Author)
Files:
http://dx.doi.org/10.1002/jgt.20475
Language:
English
Work type:
Not categorized
Typology:
1.01 - Original Scientific Article
Organization:
IAM - Andrej Marušič Institute
Abstract:
Given natural numbers
n
≥
3
and
1
≤
a
,
r
≤
n
−
1
, the rose window graph
R
n
(
a
,
r
)
is a quartic graph with vertex set
{
x
i
|
i
∈
Z
n
}
∪
{
y
i
|
i
∈
Z
n
}
and edge set
{
{
x
i
,
x
i
+
1
}
|
i
∈
Z
n
}
∪
{
{
y
i
,
y
i
+
r
}
|
i
∈
Z
n
}
∪
{
{
x
i
,
y
i
}
|
i
∈
Z
n
}
∪
{
{
x
i
+
a
,
y
i
}
|
i
∈
Z
n
}
. In this article a complete classification of edge-transitive rose window graphs is given, thus solving one of three open problems about these graphs posed by Steve Wilson in 2001.
Keywords:
group
,
graph
,
rose window
,
vertex-transitive
,
edge-transitive
,
arc-transitive
Year of publishing:
2010
Number of pages:
str. 216-231
Numbering:
Vol. 65, no. 3
PID:
20.500.12556/RUP-3215
ISSN:
0364-9024
UDC:
519.17
COBISS.SI-ID:
1024189012
Publication date in RUP:
15.10.2013
Views:
3679
Downloads:
98
Metadata:
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:
KOVÁCS, István, KUTNAR, Klavdija and MARUŠIČ, Dragan, 2010, Classification of edge-transitive rose window graphs. [online]. 2010. Vol. 65, no. 3, p. 216–231. [Accessed 3 April 2025]. Retrieved from: http://dx.doi.org/10.1002/jgt.20475
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