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On non-normal arc-transitive 4-valent dihedrants
István Kovács, Boštjan Kuzman, Aleksander Malnič, 2010, original scientific article

Abstract: 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: osebi
Keywords: Cayley graph, arc transitivity, dihedral group
Published: 15.10.2013; Views: 1991; Downloads: 50
URL Full text (0,00 KB)

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: 2184; Downloads: 78
URL Full text (0,00 KB)

On reflexible polynomials
Aleksander Malnič, Boštjan Kuzman, Primož Potočnik, 2018, published scientific conference contribution abstract (invited lecture)

Found in: osebi
Keywords: minimal elementary abelian cover, doubled cycle, polynomial
Published: 07.02.2018; Views: 1428; Downloads: 13
URL Full text (0,00 KB)

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