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171.
Semisymmetric elementary abelian covers of the Möbius-Kantor graph
Aleksander Malnič, Dragan Marušič, Štefko Miklavič, Primož Potočnik, 2007, izvirni znanstveni članek

Opis: Let ▫$\wp_N : \tilde{X} \to X$▫ be a regular covering projection of connected graphs with the group of covering transformations isomorphic to ▫$N$▫. If ▫$N$▫ is an elementary abelian ▫$p$▫-group, then the projection ▫$\wp_N$▫ is called ▫$p$▫-elementary abelian. The projection ▫$\wp_N$▫ is vertex-transitive (edge-transitive) if some vertex-transitive (edge-transitive) subgroup of Aut ▫$X$▫ lifts along ▫$\wp_N$▫, and semisymmetric if it is edge- but not vertex-transitive. The projection ▫$\wp_N$▫ is minimal semisymmetric if ▫$\wp_N$▫ cannot be written as a composition ▫$\wp_N = \wp \circ \wp_M$▫ of two (nontrivial) regular covering projections, where ▫$\pw_M$▫ is semisymmetric. Finding elementary abelian covering projections can be grasped combinatorially via a linear representation of automorphisms acting on the first homology group of the graph. The method essentially reduces to finding invariant subspaces of matrix groups over prime fields (see [A. Malnic, D. Marušic, P. Potocnik, Elementary abelian covers of graphs, J. Algebraic Combin. 20 (2004) 71-97]). In this paper, all pairwise nonisomorphic minimal semisymmetric elementary abelian regular covering projections of the Möbius-Kantor graph, the Generalized Petersen graph GP(8,3), are constructed. No such covers exist for ▫$p=2$▫. Otherwise, the number of such covering projections is equal to ▫$(p-1)/4$▫ and ▫$1+(p-1)/4$▫ in cases ▫$p \equiv 5,9,13,17,21 \pmod{24}$▫ and ▫$p \equiv 1 \pmod{24}$▫, respectively, and to ▫$(p+1)/4$▫ and ▫$1+(p+1)/4$▫ in cases ▫$p \equiv 3,7,11,15,23 \pmod{24}$▫ and ▫$p \equiv 19 \pmod{24}$▫, respectively. For each such covering projection the voltage rules generating the corresponding covers are displayed explicitly.
Ključne besede: mathematics, graph theory, graph, covering projection, lifting automorphisms, homology group, group representation, matrix group, invariant subspaces
Objavljeno v RUP: 03.04.2017; Ogledov: 2330; Prenosov: 86
URL Povezava na celotno besedilo

172.
Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)
Marko Orel, Bojan Kuzma, 2009, izvirni znanstveni članek

Opis: A complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented.
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno v RUP: 03.04.2017; Ogledov: 2418; Prenosov: 87
URL Povezava na celotno besedilo

173.
On maximal distances in a commuting graph
Gregor Dolinar, Bojan Kuzma, Polona Oblak, 2012, izvirni znanstveni članek

Opis: It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterized in terms of the commuting graph.
Ključne besede: matematika, linearna algebra, teorija grafov, komutirajoči grafi, matrična algebra, algebraično zaprt obseg, centralizator, razdalja v grafih, mathematics, linear algebra, graph theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs
Objavljeno v RUP: 03.04.2017; Ogledov: 2228; Prenosov: 256
URL Povezava na celotno besedilo

174.
175.
Generalized cages
Marko Boben, Robert Jajcay, Tomaž Pisanski, 2015, izvirni znanstveni članek

Ključne besede: cage, graph, isomorphism
Objavljeno v RUP: 03.04.2017; Ogledov: 2109; Prenosov: 71
URL Povezava na celotno besedilo

176.
177.
178.
On distance integral graphs
Milan Pokorný, Pavel Híc, Dragan Stevanović, Marko Milošević, 2015, izvirni znanstveni članek

Ključne besede: distance spectrum, distance integral graph, tree, complete split graph
Objavljeno v RUP: 03.04.2017; Ogledov: 2428; Prenosov: 140
URL Povezava na celotno besedilo

179.
Cayley graphs on abelian groups
Edward Dobson, Pablo Spiga, Gabriel Verret, 2015, izvirni znanstveni članek

Ključne besede: Cayley graph, abelian group, automorphism
Objavljeno v RUP: 03.04.2017; Ogledov: 2263; Prenosov: 136
URL Povezava na celotno besedilo

180.
Iskanje izvedeno v 0.06 sek.
Na vrh
Logotipi partnerjev Univerza v Mariboru Univerza v Ljubljani Univerza na Primorskem Univerza v Novi Gorici