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On cubic graphs admitting an edge-transitive solvable groupMalnič, Aleksander ; Marušič, Dragan ; Potočnik, Primož, 1971-Using covering graph techniques, a structural result about connected cubic simple graphs admitting an edge-transitive solvable group of automorphisms is proved. This implies, among others, that every ... such graph can be obtained from either the 3-dipole Dip▫$_3$▫ or the complete graph ▫$K_4$▫, by a sequence of elementary abelian covers. Another consequence of the main structural results is that the action of an arc-transitive solvable group on a connected cubic simple graph is at most 3-arc-transitive. As an application, a new infinite family of semisymmetric cubic graphs, arising as regular elementary abelian covering projections of ▫$K_{3,3}$▫, is constructed.Vir: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 20, no. 1, 2004, str. 99-113)Vrsta gradiva - članek, sestavni delLeto - 2004Jezik - angleškiCOBISS.SI-ID - 13267033
Avtor
Malnič, Aleksander |
Marušič, Dragan |
Potočnik, Primož, 1971-
Teme
matematika |
teorija grafov |
simetrični grafi |
tranzitivni grafi |
kubični grafi |
trivalentni grafi |
rešljiva grupa avtomorfizmov |
mathematics |
graph theory |
symmetric graph |
edge transitive graph |
cubic graph |
trivalent graph |
covering projection of graphs |
solvable group of automorphisms
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
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Malnič, Aleksander | 02507 |
Marušič, Dragan | 02887 |
Potočnik, Primož, 1971- | 18838 |
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