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1.
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: 799; Prenosov: 16
.pdf Celotno besedilo (370,47 KB)

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Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret, 2020, izvirni znanstveni članek

Ključne besede: Cayley digraphs, Cayley index
Objavljeno v RUP: 17.06.2020; Ogledov: 1565; Prenosov: 38
.pdf Celotno besedilo (396,72 KB)

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Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primož Potočnik, Gabriel Verret, 2019, izvirni znanstveni članek

Opis: Given integers ▫$k$▫ and ▫$m$▫, we construct a ▫$G$▫-arc-transitive graph of valency ▫$k$▫ and an ▫$L$▫-arc-transitive oriented digraph of out-valency ▫$k$▫ such that ▫$G$▫ and ▫$L$▫ both admit blocks of imprimitivity of size ▫$m$▫.
Ključne besede: arc-transitive digraphs, Cayley digraphs, imprimitive digraphs
Objavljeno v RUP: 28.06.2019; Ogledov: 1574; Prenosov: 126
URL Povezava na celotno besedilo

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

Ključne besede: Cayley graph, abelian group, automorphism
Objavljeno v RUP: 03.04.2017; Ogledov: 2263; Prenosov: 136
URL Povezava na celotno besedilo

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On the order of arc-stabilizers in arc-transitive graphs
Gabriel Verret, 2009, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: arc-transitivie graph, arc-stabilizer, automorphism group
Objavljeno v RUP: 15.10.2013; Ogledov: 3103; Prenosov: 71
URL Povezava na celotno besedilo

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Shifts in Cayley graphs
Gabriel Verret, Boštjan Brešar, 2007, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: teorija grafov, presečni grafi, medianski grafi
Objavljeno v RUP: 15.10.2013; Ogledov: 4089; Prenosov: 46
URL Povezava na celotno besedilo

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