1. On prime-valent symmetric bicirculants and Cayley snarksAdemir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2013, published scientific conference contribution Found in: ključnih besedah Summary of found: ...graph, Cayley graph, arc-transitive, snark, semiregular automorphism, bicirculant, ... Keywords: graph, Cayley graph, arc-transitive, snark, semiregular automorphism, bicirculant Published: 15.10.2013; Views: 1833; Downloads: 90 Full text (0,00 KB) |
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3. Algebraični aspekti teorije grafovAdemir Hujdurović, 2013, doctoral dissertation Found in: ključnih besedah Summary of found: ...circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, s... Keywords: circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph, I-regular action, regular cover of a graph, automorphism group Published: 10.07.2015; Views: 1801; Downloads: 9 Full text (0,00 KB) |
4. Symmetry structure of bicirculantsBoštjan Frelih, Primož Šparl, Aleksander Malnič, Dragan Marušič, 2007, original scientific article Abstract: 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. Found in: ključnih besedah Summary of found: ...An ▫$n$▫-bicirculant is a graph having an automorphism with... Keywords: mathematics, graph theory, graph, circulant, bicirculant, automorphism group Published: 03.04.2017; Views: 1167; Downloads: 62 Full text (0,00 KB) |
5. On strongly regular bicirculantsDragan Marušič, Aleksander Malnič, Primož Šparl, 2007, original scientific article Abstract: 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. Found in: ključnih besedah Summary of found: ...An ▫$n$▫-bicirculantis a graph having an automorphism with two... Keywords: mathematics, graph theory, graph, circulant, bicirculant, automorphism group Published: 03.04.2017; Views: 1297; Downloads: 58 Full text (0,00 KB) |
6. On certain edge-transitive bicirculantsRobert Jajcay, Štefko Miklavič, Primož Šparl, Gorazd Vasiljević, 2019, original scientific article Found in: ključnih besedah Summary of found: ...bicirculant, edge-transitive, half-arc transitive... Keywords: bicirculant, edge-transitive, half-arc transitive Published: 18.07.2019; Views: 158; Downloads: 21 Full text (0,00 KB) |