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Classification of cubic vertex-transitive tricirculants
Primož Potočnik, Micael Toledo, 2020, izvirni znanstveni članek

Ključne besede: graph, cubic, semiregular automorphism, tricirculant, vertex-transitive
Objavljeno v RUP: 03.01.2022; Ogledov: 795; Prenosov: 40
.pdf Celotno besedilo (1,18 MB)

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Mathematical aspects of fullerenes
Vesna Andova, František Kardoš, Riste Škrekovski, 2016, izvirni znanstveni članek

Opis: Fullerene graphs are cubic, 3-connected, planar graphs with exactly 12 pentagonal faces, while all other faces are hexagons. Fullerene graphs are mathematical models of fullerene molecules, i.e., molecules comprised only by carbon atoms different than graphites and diamonds. We give a survey on fullerene graphs from our perspective, which could be also considered as an introduction to this topic. Different types of fullerene graphs are considered, their symmetries, and construction methods. We give an overview of some graph invariants that can possibly correlate with the fullerene molecule stability, such as: the bipartite edge frustration, the independence number, the saturation number, the number of perfect matchings, etc.
Ključne besede: fullerene, cubic graph, planar graph, topological indices
Objavljeno v RUP: 03.01.2022; Ogledov: 703; Prenosov: 17
.pdf Celotno besedilo (626,25 KB)

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Detecting strong cliques
Ademir Hujdurović, Martin Milanič, Bernard Ries, 2019, izvirni znanstveni članek

Ključne besede: strong clique, weakly chordal graph, line graph, cubic graph
Objavljeno v RUP: 30.06.2019; Ogledov: 2141; Prenosov: 207
URL Povezava na celotno besedilo

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