1. Linking rings structures and semisymmetric graphs : combinatorial constructionsPrimož Potočnik, Steve Wilson, 2018, original scientific article Keywords: graphs, automorphism group, symmetry, locally arc-transitive graphs, symmetric graphs, cycle structure, linking ring structure Published in RUP: 03.01.2022; Views: 893; Downloads: 18 Full text (397,55 KB) |
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5. Arc-transitive cycle decompositions of tetravalent graphsŠtefko Miklavič, Primož Potočnik, Steve Wilson, 2008, original scientific article Abstract: A cycle decomposition of a graph ▫$\Gamma$▫ is a set ▫$\mathcal{C}$▫ of cycles of ▫$\Gamma$▫ such that every edge of ▫$\Gamma$▫ belongs to exactly one cycle in ▫$\mathcal{C}$▫. Such a decomposition is called arc-transitive if the group of automorphisms of ▫$\Gamma$▫ that preserve setwise acts transitively on the arcs of ▫$\Gamma$▫. In this paper, we study arc-transitive cycle decompositions of tetravalent graphs. In particular, we are interested in determining and enumerating arc-transitive cycle decompositions admitted by a given arc-transitive tetravalent graph. Among other results we show that a connected tetravalent arc-transitive graph is either 2-arc-transitive, or is isomorphic to the medial graph of a reflexible map, or admits exactly one cycle structure. Keywords: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps Published in RUP: 15.10.2013; Views: 3700; Downloads: 85 Link to full text |
6. Seasonal variation of small mammals in the diet of the barn owl (Tyto alba) in the Drinos River valley, southern AlbaniaGligor Paspali, Selfo Oruçi, Mynyr Koni, I. Wilson, Boris Kryštufek, Ferdinand Bego, 2013, original scientific article Keywords: barn owl, Tyto alba, Insectivora, Rodentia, seasonal varation, Drinos valley, Gjirokastra, Albania Published in RUP: 15.10.2013; Views: 3573; Downloads: 97 Link to full text |
7. Characterization of edge-transitive 4-valent bicirculantsIstván Kovács, Boštjan Kuzman, Aleksander Malnič, Steve Wilson, 2012, original scientific article Abstract: Bicirkulant je graf, ki dopušča avtomorfizem z natanko dvema orbitama vozlišč enake velikosti. V članku so karakterizirani vsi neizomorfni 4-valentni povezavno tranzitivni bicirkulanti. Posledično je izpeljana karakterizacija 4-valentnih ločno tranzitivnih dihedrantov. Keywords: matematika, teorija grafov, štirivalenten graf, bicirkulantni graf, Cayleyev graf, povezavno tranzitiven graf, ločno tranzitiven graf, dihedrant, rose window graf, grupa avtomorfizmov Published in RUP: 15.10.2013; Views: 3923; Downloads: 146 Link to full text |
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