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23. On split liftings with sectional complementsAleksander Malnič, Rok Požar, 2018, original scientific article Keywords: algorithm, Cayley voltages, covering projection, graph, group presentation, invariant section, lifting automorphisms, linear systems over the integers, split extension Published in RUP: 02.03.2018; Views: 2497; Downloads: 175 Link to full text |
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30. Odd automorphisms in vertex-transitive graphsAdemir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2016, original scientific article Abstract: An automorphism of a graph is said to be even/odd if it acts on the set of vertices as an even/odd permutation. In this article we pose the problem of determining which vertex-transitive graphs admit odd automorphisms. Partial results for certain classes of vertex-transitive graphs, in particular for Cayley graphs, are given. As a consequence, a characterization of arc-transitive circulants without odd automorphisms is obtained. Keywords: graph, vertex-transitive, automorphism group, even permutation, odd permutation Published in RUP: 15.11.2017; Views: 2305; Downloads: 100 Full text (281,25 KB) |