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1.
Some recent discoveries about half-arc-transitive graphs : dedicated to Dragan Marušič on the occasion of his 60th birthday
Marston D. E. Conder, Primož Potočnik, Primož Šparl, 2015, izvirni znanstveni članek

Opis: We present some new discoveries about graphs that are half-arc-transitive (that is, vertex- and edge-transitive but not arc-transitive). These include the recent discovery of the smallest half-arc-transitive 4-valent graph with vertex-stabiliser of order 4, and the smallest with vertex-stabiliser of order 8, two new half-arc-transitive 4-valent graphs with dihedral vertex-stabiliser ▫$D_4$▫ (of order 8), and the first known half-arc-transitive 4-valent graph with vertex-stabiliser of order 16 that is neither abelian nor dihedral. We also use half-arc-transitive group actions to provide an answer to a recent question of Delorme about 2-arc-transitive digraphs that are not isomorphic to their reverse.
Ključne besede: graph, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive
Objavljeno v RUP: 31.12.2021; Ogledov: 826; Prenosov: 16
.pdf Celotno besedilo (333,06 KB)

2.
A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two : dedicated to Dragan Marušič on the occasion of his 60th birthday
Primož Potočnik, Pablo Spiga, Gabriel Verret, 2015, izvirni znanstveni članek

Opis: A complete list of all connected arc-transitive asymmetric digraphs of in-valence and out-valence 2 on up to 1000 vertices is presented. As a byproduct, a complete list of all connected 4-valent graphs admitting a half-arc-transitive group of automorphisms on up to 1000 vertices is obtained. Several graph-theoretical properties of the elements of our census are calculated and discussed.
Ključne besede: graphs, digraphs, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive
Objavljeno v RUP: 31.12.2021; Ogledov: 884; Prenosov: 16
.pdf Celotno besedilo (370,47 KB)

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Infinite benzenoids
Nino Bašić, 2019, izvirni znanstveni članek

Ključne besede: infinite benzenoid, hexagonal system, convex benzenoid, boundary-edges code, half-plane, countable set
Objavljeno v RUP: 11.02.2020; Ogledov: 1530; Prenosov: 39
.pdf Celotno besedilo (4,04 MB)

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On certain edge-transitive bicirculants
Robert Jajcay, Štefko Miklavič, Primož Šparl, Gorazd Vasiljević, 2019, izvirni znanstveni članek

Ključne besede: bicirculant, edge-transitive, half-arc transitive
Objavljeno v RUP: 18.07.2019; Ogledov: 1347; Prenosov: 117
URL Povezava na celotno besedilo

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On structural results of tetravalent half-arc-transitive graphs
Primož Šparl, 2018, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Ključne besede: graph, half-arc-transitive, alternating cycle, radius
Objavljeno v RUP: 07.02.2018; Ogledov: 2144; Prenosov: 28
URL Povezava na celotno besedilo

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