2.
On non-normal arc-transitive 4-valent dihedrantsIstván Kovács,
Boštjan Kuzman,
Aleksander Malnič, 2010, izvirni znanstveni članek
Opis: 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.
Ključne besede: Cayley graph, arc transitivity, dihedral group
Objavljeno v RUP: 15.10.2013; Ogledov: 3984; Prenosov: 118
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