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1.
Classification of cubic symmetric tricirculants
István Kovács, Klavdija Kutnar, Dragan Marušič, Stephen Wilson, 2012, original scientific article

Found in: osebi
Keywords: symmetric graph, semiregular, tricirculant
Published: 15.10.2013; Views: 1628; Downloads: 26
URL Full text (0,00 KB)

2.
Crosscovers
Aleksander Malnič, Stephen Wilson, 2010, published scientific conference contribution abstract

Found in: osebi
Keywords: crosscovers
Published: 15.10.2013; Views: 1434; Downloads: 19
URL Full text (0,00 KB)

3.
Characterization of edge-transitive 4-valent bicirculants
István Kovács, Boštjan Kuzman, Aleksander Malnič, Stephen Wilson, 2012, original scientific article

Abstract: Bicirkulant je graf, ki dopušča avtomorfizem z natanko dvema orbitama vozlišč enake velikosti. V članku so karakterizirani vsi neizomorfni 4-valentni povezavno tranzitivni bicirkulanti. Posledično je izpeljana karakterizacija 4-valentnih ločno tranzitivnih dihedrantov.
Found in: osebi
Keywords: matematika, teorija grafov, štirivalenten graf, bicirkulantni graf, Cayleyev graf, povezavno tranzitiven graf, ločno tranzitiven graf, dihedrant, rose window graf, grupa avtomorfizmov
Published: 15.10.2013; Views: 2036; Downloads: 71
URL Full text (0,00 KB)

4.
Arc-transitive cycle decompositions of tetravalent graphs
Štefko Miklavič, Primož Potočnik, Stephen 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.
Found in: osebi
Keywords: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps
Published: 15.10.2013; Views: 1457; Downloads: 51
URL Full text (0,00 KB)

5.
Classification of regular embeddings of n-dimensional cubes
Shao Fei Du, Marston D. E. Conder, Stephen Wilson, Roman Nedela, Domenico A. Catalano, Young Soo Kwon, 2011, original scientific article

Found in: osebi
Keywords: cube, classification, regular embedding
Published: 15.10.2015; Views: 1241; Downloads: 71
URL Full text (0,00 KB)

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