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21.
Arc-transitive cycle decompositions of tetravalent graphs
Štefko Miklavič, Primož Potočnik, Stephen Wilson, 2008, izvirni znanstveni članek

Opis: 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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps...
Ključne besede: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps
Objavljeno: 15.10.2013; Ogledov: 1360; Prenosov: 44
URL Polno besedilo (0,00 KB)

22.
Automorphism groups of Cayley digraphs of Zp3
Edward Dobson, István Kovács, 2009, izvirni znanstveni članek

Najdeno v: ključnih besedah
Ključne besede: Cayley digraph, automorphism group
Objavljeno: 15.10.2013; Ogledov: 2213; Prenosov: 8
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

23.
Algebraični aspekti teorije grafov
Ademir Hujdurović, 2013, doktorska disertacija

Najdeno v: ključnih besedah
Povzetek najdenega: ...circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph,...
Ključne besede: 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
Objavljeno: 10.07.2015; Ogledov: 1525; Prenosov: 4
URL Polno besedilo (0,00 KB)

24.
Classification of regular maps of Euler characteristic -3p
Marston D. E. Conder, Roman Nedela, Jozef Širan, 2012, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...zemljevid, grupa avtomorfizmov, Eulerjeva karakteristika, regular map, automorphism group, Euler characteristics, ...
Ključne besede: regularen zemljevid, grupa avtomorfizmov, Eulerjeva karakteristika, regular map, automorphism group, Euler characteristics
Objavljeno: 15.10.2015; Ogledov: 1114; Prenosov: 59
URL Polno besedilo (0,00 KB)

25.
Half-arc-transitive group actions with a small number of alternets
Klavdija Kutnar, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: ključnih besedah
Povzetek najdenega: ... automorphism group, half-arc-tranistive graph, alternet, ...
Ključne besede: automorphism group, half-arc-tranistive graph, alternet
Objavljeno: 15.10.2015; Ogledov: 952; Prenosov: 9
URL Polno besedilo (0,00 KB)

26.
On the full automorphism group in vertex-transitive graphs
Dragan Marušič, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: ključnih besedah
Ključne besede: odd automorphism, automorphism group, graph
Objavljeno: 15.10.2015; Ogledov: 802; Prenosov: 13
URL Polno besedilo (0,00 KB)

27.
Cubic symmetric graphs via odd automorphisms, 60th Birthday Lecture Series, Department of Mathematics, University of Auckland, New Zealand, 10 September 2015
Klavdija Kutnar, 2015, predavanje na tuji univerzi

Najdeno v: ključnih besedah
Povzetek najdenega: ...cubic graph, symmetric, automorphism, odd permutation, ...
Ključne besede: cubic graph, symmetric, automorphism, odd permutation
Objavljeno: 15.10.2015; Ogledov: 1039; Prenosov: 10
URL Polno besedilo (0,00 KB)

28.
Minimal normal subgroups of transitive permutation groups of square-free degree
Aleksander Malnič, Dragan Marušič, Edward Dobson, Lewis A. Nowitz, 2007, izvirni znanstveni članek

Opis: It is shown that a minimal normal subgroup of a transitive permutation group of square-free degree in its induced action is simple and quasiprimitive, with three exceptions related to ▫$A_5$▫, ▫$A_7$▫, and PSL(2,29). Moreover, it is shown that a minimal normal subgroup of a 2-closed permutation group of square-free degree in its induced action is simple. As an almost immediate consequence, it follows that a 2-closed transitive permutation group of square-free degree contains a semiregular element of prime order, thus giving a partial affirmative answer to the conjecture that all 2-closed transitive permutation groups contain such an element (see [D. Marušic, On vertex symmetric digraphs,Discrete Math. 36 (1981) 69-81; P.J. Cameron (Ed.), Problems from the fifteenth British combinatorial conference, Discrete Math. 167/168 (1997) 605-615]).
Najdeno v: ključnih besedah
Povzetek najdenega: ...permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph...
Ključne besede: mathematics, graph theory, transitive permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph
Objavljeno: 03.04.2017; Ogledov: 851; Prenosov: 44
URL Polno besedilo (0,00 KB)

29.
Symmetry structure of bicirculants
Boštjan Frelih, Primož Šparl, Aleksander Malnič, Dragan Marušič, 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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...An ▫$n$▫-bicirculant is a graph having an automorphism with two orbits of length ▫$n$▫ and...
Ključne besede: mathematics, graph theory, graph, circulant, bicirculant, automorphism group
Objavljeno: 03.04.2017; Ogledov: 955; Prenosov: 50
URL Polno besedilo (0,00 KB)

30.
On strongly regular bicirculants
Dragan Marušič, Aleksander Malnič, 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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...An ▫$n$▫-bicirculantis a graph having an automorphism with two orbits of length ▫$n$▫ and...
Ključne besede: mathematics, graph theory, graph, circulant, bicirculant, automorphism group
Objavljeno: 03.04.2017; Ogledov: 991; Prenosov: 44
URL Polno besedilo (0,00 KB)

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