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1.
On 2-fold covers of graphs
Yan-Quan Feng, Klavdija Kutnar, Aleksander Malnič, Dragan Marušič, 2008, izvirni znanstveni članek

Opis: A regular covering projection ▫$\wp : \widetilde{X} \to X$▫ of connected graphs is ▫$G$▫-admissible if ▫$G$▫ lifts along ▫$\wp$▫. Denote by ▫$\tilde{G}$▫ the lifted group, and let CT▫$(\wp)$▫ be the group of covering transformations. The projection is called ▫$G$▫-split whenever the extension ▫{$\mathrm{CT}}(\wp) \to \tilde{G} \to G$▫ splits. In this paper, split 2-covers are considered, with a particular emphasis given to cubic symmetric graphs. Supposing that ▫$G$▫ is transitive on ▫$X$▫, a ▫$G$▫-split cover is said to be ▫$G$▫-split-transitive if all complements ▫$\tilde{G} \cong G$▫ of CT▫$(\wp)$▫ within ▫$\tilde{G}$▫ are transitive on ▫$\widetilde{X}$▫; it is said to be ▫$G$▫-split-sectional whenever for each complement ▫$\tilde{G}$▫ there exists a ▫$\tilde{G}$▫-invariant section of ▫$\wp$▫; and it is called ▫$G$▫-split-mixed otherwise. It is shown, when ▫$G$▫ is an arc-transitive group, split-sectional and split-mixed 2-covers lead to canonical double covers. Split-transitive covers, however, are considerably more difficult to analyze. For cubic symmetric graphs split 2-cover are necessarily canonical double covers (that is, no ▫$G$▫-split-transitive 2-covers exist) when ▫$G$▫ is 1-regular or 4-regular. In all other cases, that is, if ▫$G$▫ is ▫$s$▫-regular, ▫$s=2,3$▫ or ▫$5$▫, a necessary and sufficient condition for the existence of a transitive complement ▫$\tilde{G}$▫ is given, and moreover, an infinite family of split-transitive 2-covers based on the alternating groups of the form ▫$A_{12k+10}$▫ is constructed. Finally, chains of consecutive 2-covers, along which an arc-transitive group ▫$G$▫ has successive lifts, are also considered. It is proved that in such a chain, at most two projections can be split. Further, it is shown that, in the context of cubic symmetric graphs, if exactly two of them are split, then one is split-transitive and the other one is either split-sectional or split-mixed.
Najdeno v: ključnih besedah
Povzetek najdenega: ...A regular covering projection ▫$\wp : \widetilde{X} \to X$▫ of connected...
Ključne besede: graph theory, graphs, cubic graphs, symmetric graphs, ▫$s$▫-regular group, regular covering projection
Objavljeno: 15.10.2013; Ogledov: 1302; Prenosov: 14
URL Polno besedilo (0,00 KB)

2.
Computational aspects of lifting automorphisms
Rok Požar, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: ključnih besedah
Povzetek najdenega: ...covering projection, graph, lifting automorphsim, ...
Ključne besede: covering projection, graph, lifting automorphsim
Objavljeno: 15.10.2015; Ogledov: 771; Prenosov: 5
URL Polno besedilo (0,00 KB)

3.
On the split structure of lifted groups
Aleksander Malnič, Rok Požar, 2016, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...algorithm, abelian cover, Cayley voltages, covering projection, graph, group extension, group presentation, lifting automorphisms,...
Ključne besede: algorithm, abelian cover, Cayley voltages, covering projection, graph, group extension, group presentation, lifting automorphisms, linear systems over the integers, semidirect product
Objavljeno: 15.10.2015; Ogledov: 1027; Prenosov: 58
URL Polno besedilo (0,00 KB)

4.
Semisymmetric elementary abelian covers of the Möbius-Kantor graph
Aleksander Malnič, Štefko Miklavič, Primož Potočnik, Dragan Marušič, 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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...\tilde{X} \to X$▫ be a regular covering projection of connected graphs with the group of...
Ključne besede: mathematics, graph theory, graph, covering projection, lifting automorphisms, homology group, group representation, matrix group, invariant subspaces
Objavljeno: 03.04.2017; Ogledov: 796; Prenosov: 49
URL Polno besedilo (0,00 KB)

5.
StreetGamez
Matjaž Kljun, Klen Čopič Pucihar, Mark Lochrie, Paul Egglestone, 2015, objavljeni znanstveni prispevek na konferenci

Opis: Moving Projector Platform (MPP) is a concept of using an autonomous vehicle, such as Unmanned Aerial Vehicle (UAV), commonly known as a 'drone', as a means to deliver and move the projection to arbitrary location. As a proof of concept this paper presents a design plan for a Moving Projector Game (MPG) called StreetGamez, which facilitates the game play through motion tracking and projection of a playing area, which can move and follow players in the game. This introduces novel abilities, such as: (i) to move the gaming platform before and during the game to the desired location and (ii) to free players from carrying the gaming equipment. Consequently this instigates possibilities to explore and study new exergame paradigms and players' attitudes towards the system as a whole. The concept also has the potential to provide a breakthrough in the social acceptance of drones in gaming scenarios whilst contributing to current debates on the legislation governing drone flights and furthering knowledge in human-drone interaction.
Najdeno v: ključnih besedah
Povzetek najdenega: ...a means to deliver and move the projection to arbitrary location. As a proof of...
Ključne besede: moving projector platform, MPP, moving projector game, MPG, moving projector, moving projections, moving projection games, exergaming, exergame, UAV delivering platform, projecting game, projector game
Objavljeno: 08.08.2016; Ogledov: 1934; Prenosov: 62
URL Polno besedilo (0,00 KB)

6.
StreetGamez, a moving projector platform for games
Peter Škrlj, 2017, magistrsko delo

Najdeno v: ključnih besedah
Povzetek najdenega: ...exergaming, projection, platform, drones, art, pervasive computing, mobile robotics,...
Ključne besede: exergaming, projection, platform, drones, art, pervasive computing, mobile robotics, graphics, gaming, street games, flying displays, drone-assisted art making, content delivery, interactive context-aware projections, user interaction tracking, human-drone interaction
Objavljeno: 09.11.2017; Ogledov: 450; Prenosov: 9
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

7.
Computing stable epimorphisms onto finite groups
Rok Požar, 2018, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...algorith, epimorphism, finitely presented group, regular covering projection, quotient group...
Ključne besede: algorith, epimorphism, finitely presented group, regular covering projection, quotient group
Objavljeno: 02.03.2018; Ogledov: 556; Prenosov: 80
URL Polno besedilo (0,00 KB)

8.
On split liftings with sectional complements
Aleksander Malnič, Rok Požar, 2018, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...algorithm, Cayley voltages, covering projection, graph, group presentation, invariant section, lifting automorphisms,...
Ključne besede: algorithm, Cayley voltages, covering projection, graph, group presentation, invariant section, lifting automorphisms, linear systems over the integers, split extension
Objavljeno: 02.03.2018; Ogledov: 560; Prenosov: 92
URL Polno besedilo (0,00 KB)

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