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Odd extensions of transitive groups via symmetric graphs - The cubic case
Klavdija Kutnar, Dragan Marušič, 2018, izvirni znanstveni članek

Opis: When dealing with symmetry properties of mathematical objects, one of the fundamental questions is to determine their full automorphism group. In this paper this question is considered in the context of even/odd permutations dichotomy. More precisely: when is it that the existence of automorphisms acting as even permutations on the vertex set of a graph, called even automorphisms, forces the existence of automorphisms that act as odd permutations, called odd automorphisms. As a first step towards resolving the above question, complete information on the existence of odd automorphisms in cubic symmetric graphs is given.
Ključne besede: automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
Objavljeno v RUP: 19.11.2018; Ogledov: 1999; Prenosov: 198
URL Povezava na celotno besedilo

120.
Hamiltonicity of vertex-transitive graphs : the pq case I
Dragan Marušič, 2018, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Ključne besede: vertex-transitive, graph, Hamilton cycle
Objavljeno v RUP: 23.10.2018; Ogledov: 1297; Prenosov: 24
URL Povezava na celotno besedilo

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