| Title: | Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes - the case PSL(2, q[sup]2) acting on cosets of PGL(2, q) |
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| Authors: | ID Du, Shao Fei (Author)
ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author) |
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| Files: |  RAZ_Du_Shao_Fei_i2020.pdf (365,31 KB)
MD5: F3521C1BBA3131134689E567ABEC2837
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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: | A step forward is made in a long standing Lovász problem regarding hamiltonicity of vertex-transitive graphs by showing that every connected vertex-transitive graph of order a product of two primes arising from the group action of the projective special linear group PSL▫$(2, q^2)$▫ on cosets of its subgroup isomorphic to the projective general linear group PGL$(2, q)$ contains a Hamilton cycle. |
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| Keywords: | vertex-transitive graph, Hamilton cycle, automorphism group, orbital graph |
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| Year of publishing: | 2020 |
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| Number of pages: | str. 1-15 |
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| Numbering: | Vol. 19, no. 1 |
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| PID: | 20.500.12556/RUP-12845  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3966 |
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| DOI: | 10.26493/1855-3974.2163.5df |
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| COBISS.SI-ID: | 22957571 |
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| Publication date in RUP: | 19.07.2020 |
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| Views: | 1786 |
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| Downloads: | 47 |
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