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21.
Distance-regular Cayley graphs on dihedral groups
Primož Potočnik, Štefko Miklavič, 2005, izvirni znanstveni članek

Opis: The main result of this article is a classification of distance-regular Cayley graphs on dihedral groups. There exist four obvious families of such graphs, which are called trivial. These are: complete graphs, complete bipartite graphs, complete bipartite graphs with the edges of a 1-factor removed, and cycles. It is proved that every non-trivial distance-regular Cayley graph on a dihedral group is bipartite, non-antipodal, has diameter 3 and arises either from a cyclic di#erence set, or possibly (if any such exists) from a dihedral difference set satisfying some additional conditions. Finally, all distance-transitive Cayley graphs on dihedral groups are determined. It transpires that a Cayley graph on a dihedral group is distance-transitive if and only if it is trivial, or isomorphic to the incidence or to the non-incidence graph of a projective space ▫$\mathrm{PG}_{d-1} (d,q)$▫, ▫$d \ge 2$▫, or the unique pair of complementary symmetric designs on 11 vertices.
Najdeno v: ključnih besedah
Povzetek najdenega: ...article is a classification of distance-regular Cayley graphs on dihedral groups. There exist four obvious...
Ključne besede: mathematics, grah theory, distance-regular graph, distance-transitive graph, Cayley graph, dihedral group, dihedrant, difference set
Objavljeno: 10.07.2015; Ogledov: 927; Prenosov: 51
URL Polno besedilo (0,00 KB)

22.
Algebraični aspekti teorije grafov
Ademir Hujdurović, 2013, doktorska disertacija

Najdeno v: ključnih besedah
Povzetek najdenega: ...egular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph,...
Ključne besede: circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph, I-regular action, regular cover of a graph, automorphism group
Objavljeno: 10.07.2015; Ogledov: 1630; Prenosov: 7
URL Polno besedilo (0,00 KB)

23.
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...
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: 1082; Prenosov: 64
URL Polno besedilo (0,00 KB)

24.
Groups that are transitive on all partitions of a given shape
Edward Dobson, Aleksander Malnič, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...group, ordered partition, unordered partition, Johnson graph, Cayley graph, ...
Ključne besede: transitive group, ordered partition, unordered partition, Johnson graph, Cayley graph
Objavljeno: 03.04.2017; Ogledov: 881; Prenosov: 102
URL Polno besedilo (0,00 KB)

25.
Cayley graphs on abelian groups
Gabriel Verret, Edward Dobson, Pablo Spiga, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Cayley graph, abelian group, automorphism, ...
Ključne besede: Cayley graph, abelian group, automorphism
Objavljeno: 03.04.2017; Ogledov: 837; Prenosov: 101
URL Polno besedilo (0,00 KB)

26.
Quotients of CI-Groups are CI-Groups
Edward Dobson, Joy Morris, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...CI-group, Cayley graph, Quotient, ...
Ključne besede: CI-group, Cayley graph, Quotient
Objavljeno: 03.04.2017; Ogledov: 658; Prenosov: 105
URL Polno besedilo (0,00 KB)

27.
Further restrictions on the structure of finite DCI-groups
Edward Dobson, Joy Morris, Pablo Spiga, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...isomorphism problem, CI-group, dihedral group, Cayley graph, ...
Ključne besede: isomorphism problem, CI-group, dihedral group, Cayley graph
Objavljeno: 08.08.2016; Ogledov: 1034; Prenosov: 25
URL Polno besedilo (0,00 KB)

28.
On colour-preserving automorphisms of Cayley graphs
Klavdija Kutnar, Ademir Hujdurović, Edward Dobson, Dave Witte Morris, Joy Morris, 2016, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: ključnih besedah
Povzetek najdenega: ...Cayley graph, automorphism, group, colouring, ...
Ključne besede: Cayley graph, automorphism, group, colouring
Objavljeno: 08.08.2016; Ogledov: 1078; Prenosov: 57
URL Polno besedilo (0,00 KB)

29.
Which Haar graphs are Cayley graphs?
István Estélyi, Tomaž Pisanski, 2016, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Haar graph, Cayley graph, dihedral group, generalized dihedral group,...
Ključne besede: Haar graph, Cayley graph, dihedral group, generalized dihedral group
Objavljeno: 16.11.2017; Ogledov: 1093; Prenosov: 32
URL Polno besedilo (0,00 KB)

30.
On automorphisms and structural properties of generalized cayley graphs
Ademir Hujdurović, Klavdija Kutnar, Paweł Petecki, Anastasiya Tanana, 2017, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...generalized Cayley graph, automorphism group, Cayley graph, ...
Ključne besede: generalized Cayley graph, automorphism group, Cayley graph
Objavljeno: 15.11.2017; Ogledov: 638; Prenosov: 100
URL Polno besedilo (0,00 KB)

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