| Title: | Classification of edge-transitive rose window graphs |
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| Authors: | ID Kovács, István (Author)
ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author) |
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| Files: |  http://dx.doi.org/10.1002/jgt.20475
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| 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. |
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| Keywords: | group, graph, rose window, vertex-transitive, edge-transitive, arc-transitive |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 216-231 |
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| Numbering: | Vol. 65, no. 3 |
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| PID: | 20.500.12556/RUP-3215  |
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| ISSN: | 0364-9024 |
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| UDC: | 519.17 |
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| COBISS.SI-ID: | 1024189012 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 4407 |
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| Downloads: | 115 |
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| Metadata: |    |
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