61. Semisymmetric elementary abelian covers of the Möbius-Kantor graphAleksander Malnič, Dragan Marušič, Štefko Miklavič, Primož Potočnik, 2007, original scientific article Abstract: 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. Keywords: mathematics, graph theory, graph, covering projection, lifting automorphisms, homology group, group representation, matrix group, invariant subspaces Published in RUP: 03.04.2017; Views: 2489; Downloads: 86 Link to full text |
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63. 20th annual congress of the European College of Sport Science, Malmö, Sweden, 24th-27th June 2015Uroš Marušič, 2015, review, book review, critique Keywords: European college of sport science, ECSS, annual congress, reports Published in RUP: 09.08.2016; Views: 3207; Downloads: 58 Link to full text |
64. Greater loss in muscle mass and function but smaller metabolic alterations in older compared to younger men following two weeks of bed rest and recoveryRado Pišot, Uroš Marušič, Gianni Biolo, Sara Mazzucco, Stefano Lazzer, Bruno Grassi, Carlo Reggiani, Luana Toniolo, Pietro Enrico Di Prampero, Angelina Passaro, Marco Vincenzo Narici, Shahid Mohammed, Joern Rittweger, Mladen Gasparini, Mojca Gabrijelčič Blenkuš, Boštjan Šimunič, 2016, original scientific article Keywords: ageing, prolonged physical inactivity, functional decline, reconditioning Published in RUP: 08.08.2016; Views: 3445; Downloads: 189 Link to full text |
65. Age-related differences in plasma BDNF levels after prolonged bed restCecilia Soavi, Uroš Marušič, Juana Maria Sanz, Mario Luca Morieri, Edoardo Dalla Nora, Boštjan Šimunič, Rado Pišot, Giovanni Zuliani, Angelina Passaro, 2016, original scientific article Keywords: brain derived neurotrophic factor, BDNF, bed rest, acute stress, aging brain Published in RUP: 08.08.2016; Views: 3326; Downloads: 213 Link to full text |
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