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Half-arc-transitive graphs and the fano plane
ID Mačaj, Martin (Author), ID Šparl, Primož (Author)

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Abstract
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that provide infinitely many tetravalent graphs admitting half-arc-transitive groups of automorphisms are introduced. Symmetry properties of constructed graphs are investigated. In the second part of the paper the two constructions are applied to the Heawood graph, the well-known incidence graph of the Fano plane.

Language:Slovenian
Keywords:matematika
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Publication version:Author Accepted Manuscript
Publisher:Tokyo: Springer Japan
Year:2021
Number of pages:987-1012
Numbering:37
PID:20.500.12556/RUL-128564 This link opens in a new window
ISSN:1435-5914
COBISS.SI-ID:67311619 This link opens in a new window
Publication date in RUL:16.08.2021
Views:1826
Downloads:185
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MAČAJ, Martin and ŠPARL, Primož, 2021, Half-arc-transitive graphs and the fano plane. [online]. 2021. Vol. 37, p. 987–1012. [Accessed 7 June 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=128564
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Secondary language

Language:English
Keywords:half-arc-transitive

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