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31.
32.
Graph classes : from practice to theory
Martin Milanič, 2015, published scientific conference contribution abstract (invited lecture)

Keywords: uporaba teorije grafov, razred grafov, pragoven graf, problem nahrbtnika, application of graph theory, graph class, threshold graph, knapsack problem
Published in RUP: 08.08.2016; Views: 2540; Downloads: 18
URL Link to full text

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Distance-regular Cayley graphs on dihedral groups
Štefko Miklavič, Primož Potočnik, 2005, original scientific article

Abstract: The main result of this article is a classification of distance-regular Cayley graphs on dihedral groups. There exist four obvious families of such graphs, which are called trivial. These are: complete graphs, complete bipartite graphs, complete bipartite graphs with the edges of a 1-factor removed, and cycles. It is proved that every non-trivial distance-regular Cayley graph on a dihedral group is bipartite, non-antipodal, has diameter 3 and arises either from a cyclic di#erence set, or possibly (if any such exists) from a dihedral difference set satisfying some additional conditions. Finally, all distance-transitive Cayley graphs on dihedral groups are determined. It transpires that a Cayley graph on a dihedral group is distance-transitive if and only if it is trivial, or isomorphic to the incidence or to the non-incidence graph of a projective space ▫$\mathrm{PG}_{d-1} (d,q)$▫, ▫$d \ge 2$▫, or the unique pair of complementary symmetric designs on 11 vertices.
Keywords: mathematics, grah theory, distance-regular graph, distance-transitive graph, Cayley graph, dihedral group, dihedrant, difference set
Published in RUP: 10.07.2015; Views: 2651; Downloads: 90
URL Link to full text

37.
On overgroups of regular abelian p-groups
Edward Dobson, 2009, original scientific article

Abstract: Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup ▫$P$▫ is abelian od rank ▫$t$▫. Weshow that if ▫$p > 2^{t-1}$▫, then ▫$G$▫ has a normal subgroup that is a direct product of ▫$t$▫ permutation groups of smaller degree that are either cyclic or doubly-transitive simple groups. As a consequence, we determine the full automorphism group of a Cayley diagraph of an abelian group with rank two such that the Sylow ▫$p$▫-subgroup of the full automorphism group is abelian.
Keywords: group theory, graph theory, Cayley graph, abelian group, regular group, p-group
Published in RUP: 15.10.2013; Views: 3282; Downloads: 157
URL Link to full text

38.
Knowledge resources and competive advantage
Doris Gomezelj Omerzel, Rune Ellemose Gulev, 2011, original scientific article

Keywords: knowledge, competitiveness, firm performance, knowledge-based theory
Published in RUP: 15.10.2013; Views: 2533; Downloads: 71
.pdf Full text (151,53 KB)

39.
Non-financial performance ratios as a management tool
Franko Milost, 2004, published scientific conference contribution

Keywords: accounting, accounting theory, performance ratios, management
Published in RUP: 15.10.2013; Views: 3374; Downloads: 73
URL Link to full text

40.
Arc-transitive cycle decompositions of tetravalent graphs
Štefko Miklavič, Primož Potočnik, Steve Wilson, 2008, original scientific article

Abstract: 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.
Keywords: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps
Published in RUP: 15.10.2013; Views: 3748; Downloads: 85
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