| Title: | Rose window graphs underlying rotary maps |
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| Authors: | ID Kovács, István (Author)
ID Kutnar, Klavdija (Author)
ID Ruff, János (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.disc.2009.12.010
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.08 - Published Scientific Conference Contribution |
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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 ▫$\{\{x_i, x_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{y_i, y_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{x_i, y_i\} \vert\; i \in {\mathbb Z}_n\} \cup \{\{x_{i+a}, y_i\} \vert\; i \in {\mathbb Z}_n \}$▫. In this paper rotary maps on rose window graphs are considered. In particular, we answer the question posed in [S. Wilson, Rose window graphs, Ars Math. Contemp. 1 (2008), 7-19. http://amc.imfm.si/index.php/amc/issue/view/5] concerning which of these graphs underlie a rotary map. |
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| Keywords: | graph theory, rotary map, edge-transitive graph, covering graph, voltage graph |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 1802-1811 |
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| Numbering: | Vol. 310, no. 12 |
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| PID: | 20.500.12556/RUP-1173  |
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| ISSN: | 0012-365X |
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| UDC: | 519.17 |
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| COBISS.SI-ID: | 1024195924 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 3559 |
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| Downloads: | 87 |
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