| Title: | Some recent discoveries about half-arc-transitive graphs : dedicated to Dragan Marušič on the occasion of his 60th birthday |
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| Authors: | ID Conder, Marston D. E. (Author)
ID Potočnik, Primož (Author)
ID Šparl, Primož (Author) |
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| Files: |  RAZ_Conder_Marston_D._E._i2015.pdf (333,06 KB)
MD5: 9634784ACCA3E4B36C396637CF87279F
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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: | We present some new discoveries about graphs that are half-arc-transitive (that is, vertex- and edge-transitive but not arc-transitive). These include the recent discovery of the smallest half-arc-transitive 4-valent graph with vertex-stabiliser of order 4, and the smallest with vertex-stabiliser of order 8, two new half-arc-transitive 4-valent graphs with dihedral vertex-stabiliser ▫$D_4$▫ (of order 8), and the first known half-arc-transitive 4-valent graph with vertex-stabiliser of order 16 that is neither abelian nor dihedral. We also use half-arc-transitive group actions to provide an answer to a recent question of Delorme about 2-arc-transitive digraphs that are not isomorphic to their reverse. |
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| Keywords: | graph, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive |
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| Year of publishing: | 2015 |
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| Number of pages: | str. 149-162 |
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| Numbering: | Vol. 8, no. 1 |
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| PID: | 20.500.12556/RUP-17613  |
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| UDC: | 519.17:512.542 |
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| ISSN on article: | 1855-3966 |
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| COBISS.SI-ID: | 17187417 |
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| Publication date in RUP: | 31.12.2021 |
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| Views: | 836 |
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| Downloads: | 16 |
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