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Title:Classification of edge-transitive rose window graphs
Authors:Kovács, István (Author)
Kutnar, Klavdija (Author)
Marušič, Dragan (Author)
Files:URL http://dx.doi.org/10.1002/jgt.20475
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:Given natural numbers ▫$n \ge 3$▫ and ▫$1 \le a$▫, ▫$r \le n-1$▫, the rose window graph ▫$R_n(a,r)$▫ is a quartic graph with vertex set ▫$\{x_i \vert i \in {\mathbb Z}_n\} \cup \{y_i \vert i \in {\mathbb Z}_n\}$▫ and edge set ▫$\{\{x_i, x_{i+1}\} \vert i \in {\mathbb Z}_n\} \cup \{\{y_i, y_{i+r}\} \vert i \in {\mathbb Z}_n\} \cup \{\{x_i, y_i\} \vert i \in {\mathbb Z}_n\} \cup \{\{x_{i+a}, y_i\} \vert i \in {\mathbb Z}_n\}$▫. 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
ISSN:0364-9024
UDC:519.17
COBISS_ID:1024189012 Link is opened in a new window
Views:1374
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