| Title: | Splittable and unsplittable graphs and configurations |
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| Authors: | ID Bašić, Nino (Author)
ID Grošelj, Jan (Author)
ID Grünbaum, Branko (Author)
ID Pisanski, Tomaž (Author) |
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| Files: |  RAZ_Basic_Nino_i2019.pdf (355,79 KB)
MD5: 58041896E2415F83545856E7417F31C4
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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 prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ▫$(n_3)$▫ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable. |
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| Keywords: | configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph |
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| Year of publishing: | 2019 |
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| Number of pages: | str. 1-17 |
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| Numbering: | Vol. 16, no. 1 |
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| PID: | 20.500.12556/RUP-17632  |
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| UDC: | 519.14 |
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| ISSN on article: | 1855-3966 |
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| DOI: | 10.26493/1855-3974.1467.04b |
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| COBISS.SI-ID: | 18699097 |
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| Publication date in RUP: | 03.01.2022 |
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| Views: | 925 |
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| Downloads: | 19 |
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