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Splittable and unsplittable graphs and configurations
Nino Bašić, Jan Grošelj, Branko Grünbaum, Tomaž Pisanski, 2019, original scientific article

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.
Keywords: configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph
Published in RUP: 03.01.2022; Views: 914; Downloads: 19
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Existence of non-Cayley Haar graphs
Yan-Quan Feng, István Kovács, Jie Wang, Da-Wei Yang, 2020, original scientific article

Keywords: graph, Cayley graph, Haar graph
Published in RUP: 17.06.2020; Views: 1273; Downloads: 99
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On groups all of whose Haar graphs are Cayley graphs
Yan-Quan Feng, István Kovács, Da-Wei Yang, 2019, original scientific article

Keywords: graph automorphism, Cayley graph, Haar graph
Published in RUP: 28.06.2019; Views: 1880; Downloads: 340
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Which Haar graphs are Cayley graphs?
István Estélyi, Tomaž Pisanski, 2016, original scientific article

Keywords: Haar graph, Cayley graph, dihedral group, generalized dihedral group
Published in RUP: 16.11.2017; Views: 3447; Downloads: 94
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