Search the repository

 Query: search in TitleAuthorAbstractKeywordsFull textYear of publishing ANDORAND NOT search in TitleAuthorAbstractKeywordsFull textYear of publishing ANDORAND NOT search in TitleAuthorAbstractKeywordsFull textYear of publishing ANDORAND NOT search in TitleAuthorAbstractKeywordsFull textYear of publishing Work type: All work types Habilitation (m4) Specialist thesis (m3) High school thesis (m6) Bachelor work * (dip) Master disertations * (mag) Doctorate disertations * (dok) Research Data or Corpuses (data) * old and bolonia study programme Language: All languagesSlovenianEnglishGermanCroatianSerbianBosnianBulgarianCzechFinnishFrenchGerman (Austria)HungarianItalianJapaneseLithuanianNorwegianPolishRussianSerbian (cyrillic)SlovakSpanishSwedishTurkishUnknown Search in: RUP    FAMNIT - Faculty of Mathematics, Science and Information Technologies    FHŠ - Faculty of Humanities    FM - Faculty of Management    FTŠ Turistica - Turistica – College of Tourism Portorož    FVZ - Faculty of Health Sciences    IAM - Andrej Marušič Institute    PEF - Faculty of Education    UPR - University of PrimorskaCOBISS    Fakulteta za humanistične študije, Koper    Fakulteta za management Koper in Pedagoška fakulteta Koper    Fakulteta za vede o zdravju, Izola    Knjižnica za tehniko, medicino in naravoslovje, Koper    Turistica, Portorož    Znanstveno-raziskovalno središče Koper Options: Show only hits with full text Reset

 11 - 20 / 20112345678910 11.The full automorphism group of Cayley graphs of ${mathbb Z}_ptimes{mathbbZ}_{p^2}$Edward Dobson, 2012, original scientific articleFound in: ključnih besedahSummary of found: ...Cayley graph, abelian group, automorphism group, ...Keywords: Cayley graph, abelian group, automorphism groupPublished: 15.10.2013; Views: 1936; Downloads: 42 Full text (0,00 KB) 12.On non-normal arc-transitive 4-valent dihedrantsIstván Kovács, Boštjan Kuzman, Aleksander Malnič, 2010, original scientific articleAbstract: Let ▫$X$▫ be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that ▫$X$▫ is bipartite, with the two bipartition sets being the two orbits of the cyclic subgroup within ▫$D_n$▫. It is shown that ▫$X$▫ is isomorphic either to the lexicographic product ▫$C_n[2K_1]$▫ with ▫$n \geq 4$▫ even, or to one of the five sporadic graphs on 10, 14, 26, 28 and 30 vertices, respectively.Found in: ključnih besedahSummary of found: ...be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that...Keywords: Cayley graph, arc transitivity, dihedral groupPublished: 15.10.2013; Views: 1942; Downloads: 49 Full text (0,00 KB) 13.Classification of 2-arc-transitive dihedrantsShao Fei Du, Aleksander Malnič, Dragan Marušič, 2008, original scientific articleAbstract: A complete classification of 2-arc-transitive dihedrants, that is, Cayley graphs of dihedral groups is given, thus completing the study of these graphs initiated by the third author in [D. Marušič, On 2-arc-transitivity of Cayley graphs, J. Combin. Theory Ser. B 87 (2003) 162-196]. The list consists of the following graphs: (i) cycles ▫$C_{2n},\; n \ge 3$▫; (ii) complete graphs ▫$K_{2n}, \; n \ge 3$▫; (iii) complete bipartite graphs ▫$K_{n,n}, \; n \ge 3$▫; (iv) complete bipartite graphs minus a matching ▫$K_{n,n} - nK_2, \; n \ge 3$▫; (v) incidence and nonincidence graphs ▫$B(H_{11})$▫ and ▫$B'(H_{11})$▫ of the Hadamard design on 11 points; (vi) incidence and nonincidence graphs ▫$B(PG(d,q))$▫ and ▫$B'(PG(d,q))$▫, with ▫$d \ge 2$▫ and ▫$q$▫ a prime power, of projective spaces; (vii) and an infinite family of regular ▫${\mathbb{Z}}_d$▫-covers ▫$K_{q+1}^{2d}$▫ of ▫$K_{q+1, q+1} - (q+1)K_2$▫, where ▫$q \ge 3$▫ is an odd prime power and ▫$d$▫ is a divisor of ▫$\frac{q-1}{2}$▫ and ▫$q-1$▫, respectively, depending on whether ▫$q \equiv 1 \pmod{4}$▫ or ▫$q \equiv 3 \pmod{4}$▫ obtained by identifying the vertex set of the base graph with two copies of the projective line ▫$PG(1,q)$▫, where the missing matching consists of all pairs of the form ▫$[i,i']$▫, ▫$i \in PG(1,q)$▫, and the edge ▫$[i,j']$▫ carries trivial voltage if ▫$i=\infty$▫ or ▫$j=\infty$▫, and carries voltage ▫$\bar{h} \in {\mathbb{Z}}_d$▫, the residue class of ▫$h \in {\mathbb{Z}}_d$▫, if and only if ▫$i-j = \theta^h$▫, where ▫$\theta$▫ generates the multiplicative group ▫${\mathbb{F}}_q^\ast$▫ of the Galois field ▫${\mathbb{F}}_q$▫.Found in: ključnih besedahSummary of found: ...classification of 2-arc-transitive dihedrants, that is, Cayley graphs of dihedral groups is given, thus completing...Keywords: permutation group, imprimitive group, dihedral group, Cayley graph, dihedrant, 2-Arc-transitive graphPublished: 15.10.2013; Views: 1751; Downloads: 56 Full text (0,00 KB) 14.A complete classification of cubic symmetric graphs of girth 6Klavdija Kutnar, Dragan Marušič, 2009, original scientific articleAbstract: A complete classification of cubic symmetric graphs of girth 6 is given. It is shown that with the exception of the Heawood graph, the Moebius-Kantor graph, the Pappus graph, and the Desargues graph, a cubic symmetric graph ▫$X$▫ of girth 6 is a normal Cayley graph of a generalized dihedral group; in particular, (i) ▫$X$▫ is 2-regular if and only if it is isomorphic to a so-called ▫$I_k^n$▫-path, a graph of order either ▫$n^2/2$▫ or ▫$n^2/6$▫, which is characterized by the fact that its quotient relative to a certain semiregular automorphism is a path. (ii) ▫$X$▫ is 1-regular if and only if there exists an integer ▫$r$▫ with prime decomposition ▫$r=3^s p_1^{e_1} \dots p_t^{e_t} > 3$▫, where ▫$s \in \{0,1\}$▫, ▫$t \ge 1$▫, and ▫$p_i \equiv 1 \pmod{3}$▫, such that ▫$X$▫ is isomorphic either to a Cayley graph of a dihedral group ▫$D_{2r}$▫ of order ▫$2r$▫ or ▫$X$▫ is isomorphic to a certain ▫$\ZZ_r$▫-cover of one of the following graphs: the cube ▫$Q_3$▫, the Pappus graph or an ▫$I_k^n(t)$▫-path of order ▫$n^2/2$▫.Found in: ključnih besedahSummary of found: ...A complete classification of cubic symmetric graphs of girth 6 is given. It is...Keywords: graph theory, cubic graphs, symmetric graphs, ▫$s$▫-regular graphs, girth, consistent cyclePublished: 15.10.2013; Views: 1951; Downloads: 58 Full text (0,00 KB) 15.Rose window graphs underlying rotary mapsIstván Kovács, Klavdija Kutnar, János Ruff, 2010, published scientific conference contributionAbstract: Given natural numbers ▫$n \ge 3$▫ and ▫$1 \le a$▫, ▫$r \le n-1$▫, the rose window graph ▫$R_n(a,r)$▫ is a quartic graph with vertex set ▫$\{x_i \vert\; i \in {\mathbb Z}_n \} \cup \{y_i \vert\; i \in {\mathbb Z}_n \}$▫ and edge set ▫$\{\{x_i, x_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{y_i, y_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{x_i, y_i\} \vert\; i \in {\mathbb Z}_n\} \cup \{\{x_{i+a}, y_i\} \vert\; i \in {\mathbb Z}_n \}$▫. In this paper rotary maps on rose window graphs are considered. In particular, we answer the question posed in [S. Wilson, Rose window graphs, Ars Math. Contemp. 1 (2008), 7-19. http://amc.imfm.si/index.php/amc/issue/view/5] concerning which of these graphs underlie a rotary map.Found in: ključnih besedahSummary of found: ...a$▫, ▫$r \le n-1$▫, the rose window graph ▫$R_n(a,r)$▫ is a quartic graph with vertex...Keywords: graph theory, rotary map, edge-transitive graph, covering graph, voltage graphPublished: 15.10.2013; Views: 1732; Downloads: 55 Full text (0,00 KB) 16.Q-polynomial distance-regular graphs with a [sub] 1 [equal] 0 and a [sub] 2 [not equal] 0Štefko Miklavič, 2008, original scientific articleAbstract: Let ▫$\Gamma$▫ denote a ▫$Q$▫-polynomial distance-regular graph with diameter ▫$D \ge 3$▫ and intersection numbers ▫$a_1=0$▫, ▫$a_2 \ne 0$▫. Let ▫$X$▫ denote the vertex set of ▫$\Gamma$▫ and let ▫$A \in {\mathrm{Mat}}_X ({\mathbb{C}})$▫ denote the adjacency matrix of ▫$\Gamma$▫. Fix ▫$x \in X$▫ and let denote$A^\ast \in {\mathrm{Mat}}_X ({\mathbb{C}})$the corresponding dual adjacency matrix. Let ▫$T$▫ denote the subalgebra of ▫$A{\mathrm{Mat}}_X ({\mathbb{C}})$▫ generated by ▫$A$▫, ▫$A^\ast$▫. We call ▫$T$▫ the Terwilliger algebra of ▫$\Gamma$▫ with respect to ▫$x$▫. We show that up to isomorphism there exists a unique irreducible ▫$T$▫-module ▫$W$▫ with endpoint 1. We show that ▫$W$▫ has dimension ▫$2D-2$▫. We display a basis for ▫$W$▫ which consists of eigenvectors for ▫$A^\ast$▫. We display the action of ▫$A$▫ on this basis. We show that ▫$W$▫ appears in the standard module of ▫$\Gamma$▫ with multiplicity ▫$k-1$▫, where ▫$k$▫ is the valency of ▫$\Gamma$▫.Found in: ključnih besedahSummary of found: ...Let ▫$\Gamma$▫ denote a ▫$Q$▫-polynomial distance-regular graph with diameter ▫$D \ge 3$▫ and intersection...Keywords: mathematics, graph theory, adjacency matrix, distance-regular graph, Terwilliger algebraPublished: 15.10.2013; Views: 1720; Downloads: 9 Full text (0,00 KB) 17.Primitive groups of degree twice a prime numberDragan Marušič, 2012, unpublished invited conference lectureFound in: ključnih besedahSummary of found: ...primitive group, strongly regular graph, primitive action, ...Keywords: primitive group, strongly regular graph, primitive actionPublished: 15.10.2013; Views: 1800; Downloads: 24 Full text (0,00 KB) 18.On quartic half-arc-transitive metacirculantsDragan Marušič, Primož Šparl, 2008, original scientific articleAbstract: Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group generated by two automorphisms ▫$\rho$▫ and ▫$\sigma$▫, where ▫$\rho$▫ is ▫$(m,n)$▫-semiregular for some integers ▫$m \ge 1$▫, ▫$n \ge 2▫$, and where ▫$\sigma$▫ normalizes ▫$\rho$▫, cyclically permuting the orbits of ▫$\rho$▫ in such a way that ▫$\sigma^m\$▫ has at least one fixed vertex. A half-arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In this article quartic half-arc-transitive metacirculants are explored and their connection to the so called tightly attached quartic half-arc-transitive graphs is explored. It is shown that there are three essentially different possibilities for a quartic half-arc-transitive metacirculant which is not tightly attached to exist. These graphs are extensively studied and some infinite families of such graphs are constructed.Found in: ključnih besedahSummary of found: ...Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group...Keywords: mathematics, graph theory, metacirculant graph, half-arc-transitive graph, tightly attached, automorphism groupPublished: 15.10.2013; Views: 1845; Downloads: 75 Full text (0,00 KB) 19.Consistent Cycles in 1/2-Arc-Transitive GraphsMarko Boben, Štefko Miklavič, Primož Potočnik, 2009, original scientific articleFound in: ključnih besedahSummary of found: ...mathematics, graph theory, 1/2-arc-transitivity, consistent cycle, ...Keywords: mathematics, graph theory, 1/2-arc-transitivity, consistent cyclePublished: 15.10.2013; Views: 2334; Downloads: 7 Full text (0,00 KB)This document has more files! More... 20.On arc-transitive Cayley graphs of dihedral groupsIstván Kovács, 2007, published scientific conference contribution abstractFound in: ključnih besedahSummary of found: ...arc-transitive graph, dihedral graph, S-ring, ...Keywords: arc-transitive graph, dihedral graph, S-ringPublished: 15.10.2013; Views: 1694; Downloads: 20 Full text (0,00 KB)
Search done in 0 sec.