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1.
Bicirculants via imprimitivity block systems
Dragan Marušič, 2021, izvirni znanstveni članek

Ključne besede: semiregular group, imprimitive group, arc-transitive graph, bicirculant
Objavljeno v RUP: 06.05.2021; Ogledov: 796; Prenosov: 30
URL Povezava na celotno besedilo

2.
On certain edge-transitive bicirculants
Robert Jajcay, Štefko Miklavič, Primož Šparl, Gorazd Vasiljević, 2019, izvirni znanstveni članek

Ključne besede: bicirculant, edge-transitive, half-arc transitive
Objavljeno v RUP: 18.07.2019; Ogledov: 1251; Prenosov: 117
URL Povezava na celotno besedilo

3.
Symmetry structure of bicirculants
Aleksander Malnič, Dragan Marušič, Primož Šparl, Boštjan Frelih, 2007, izvirni znanstveni članek

Opis: An ▫$n$▫-bicirculant is a graph having an automorphism with two orbits of length ▫$n$▫ and no other orbits. Symmetry properties of ▫$p$▫-bicirculants, ▫$p$▫ a prime, are extensively studied. In particular, the actions of their automorphism groups are described in detail in terms of certain algebraic representation of such graphs.
Ključne besede: mathematics, graph theory, graph, circulant, bicirculant, automorphism group
Objavljeno v RUP: 03.04.2017; Ogledov: 2446; Prenosov: 95
URL Povezava na celotno besedilo

4.
On strongly regular bicirculants
Aleksander Malnič, Dragan Marušič, Primož Šparl, 2007, izvirni znanstveni članek

Opis: An ▫$n$▫-bicirculantis a graph having an automorphism with two orbits of length ▫$n$▫ and no other orbits. This article deals with strongly regular bicirculants. It is known that for a nontrivial strongly regular ▫$n$▫-bicirculant, ▫$n$▫ odd, there exists a positive integer m such that ▫$n=2m^2+2m+1▫$. Only three nontrivial examples have been known previously, namely, for ▫$m=1,2$▫ and 4. Case ▫$m=1$▫ gives rise to the Petersen graph and its complement, while the graphs arising from cases ▫$m=2$▫ and ▫$m=4$▫ are associated with certain Steiner systems. Similarly, if ▫$n$▫ is even, then ▫$n=2m^2$▫ for some ▫$m \ge 2$▫. Apart from a pair of complementary strongly regular 8-bicirculants, no other example seems to be known. A necessary condition for the existence of a strongly regular vertex-transitive ▫$p$▫-bicirculant, ▫$p$▫ a prime, is obtained here. In addition, three new strongly regular bicirculants having 50, 82 and 122 vertices corresponding, respectively, to ▫$m=3,4$▫ and 5 above, are presented. These graphs are not associated with any Steiner system, and together with their complements form the first known pairs of complementary strongly regular bicirculants which are vertex-transitive but not edge-transitive.
Ključne besede: mathematics, graph theory, graph, circulant, bicirculant, automorphism group
Objavljeno v RUP: 03.04.2017; Ogledov: 3316; Prenosov: 88
URL Povezava na celotno besedilo

5.
6.
On generalized Cayley graphs
Klavdija Kutnar, 2013, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: vertex-transitive, bicirculant, generalized Cayley graph
Objavljeno v RUP: 15.10.2013; Ogledov: 3770; Prenosov: 35
URL Povezava na celotno besedilo

7.
On prime-valent symmetric bicirculants and Cayley snarks
Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2013, objavljeni znanstveni prispevek na konferenci

Ključne besede: graph, Cayley graph, arc-transitive, snark, semiregular automorphism, bicirculant
Objavljeno v RUP: 15.10.2013; Ogledov: 3322; Prenosov: 155
URL Povezava na celotno besedilo

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