| Title: | Odd automorphisms in vertex-transitive graphs |
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| Authors: | ID Hujdurović, Ademir (Author)
ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author) |
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| Files: |  RAZ_Hujdurovic_Ademir_i2016.pdf (281,25 KB)
MD5: 7500C82FD61C5212FB47F74B2F69415D
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | An automorphism of a graph is said to be even/odd if it acts on the set of vertices as an even/odd permutation. In this article we pose the problem of determining which vertex-transitive graphs admit odd automorphisms. Partial results for certain classes of vertex-transitive graphs, in particular for Cayley graphs, are given. As a consequence, a characterization of arc-transitive circulants without odd automorphisms is obtained. |
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| Keywords: | graph, vertex-transitive, automorphism group, even permutation, odd permutation |
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| Year of publishing: | 2016 |
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| Number of pages: | str. 427-437 |
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| Numbering: | Vol. 10, no. 2 |
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| PID: | 20.500.12556/RUP-8841  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3966 |
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| COBISS.SI-ID: | 1538542276 |
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| Publication date in RUP: | 15.11.2017 |
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| Views: | 3605 |
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| Downloads: | 102 |
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