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Št. zadetkov: 6
Kubični vozliščno tranzitivni grafi, ki premorejo avtomorfizem z majhnim številom orbit
Micael Alexi Toledo Roy, Primož Potočnik, Ademir Hujdurović
Doktorska disertacija
Oznake: cubic graph;vertex-transitive graph;voltage graph;graph cover;multicirculant;polycirculant;cyclic group;
Leto: 2020 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Classification of cubic vertex-transitive tricirculants
Primož Potočnik, Micael Toledo
Izvirni znanstveni članek
Oznake: graph;cubic;semiregular automorphism;tricirculant;vertex-transitive;
Leto: 2020 Vir: Repozitorij Univerze na Primorskem (RUP)
Cubic vertex-transitive graphs admitting automorphisms of large order
Primož Potočnik, Micael Toledo
Izvirni znanstveni članek
Oznake: cubic vertex-transitive graphs;multicirculants;automorphisms of large order;
A connected graph of order ▫$n$▫ admitting a semiregular automorphism of order ▫$n/k$▫ is called a ▫$k$▫-multicirculant. Highly symmetric multicirculants of small valency have been extensively studied, and several classification results exist for cubic vertex- and arc-transitive multicirculants. In ...
Leto: 2023 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Faithful and thin non-polytopal maniplexes
Dimitri Leemans, Micael Toledo
Izvirni znanstveni članek
Oznake: maniplex;polytope;faithful;thin;regular cover;
Maniplexes are coloured graphs that generalise maps on surfaces and abstract polytopes. Each maniplex uniquely defines a partially ordered set that encodes information about its structure. When this poset is an abstract polytope, we say that the associated maniplex is polytopal. Maniplexes that have ...
Leto: 2025 Vir: Repozitorij Univerze na Primorskem (RUP)
On orders of automorphisms of vertex-transitive graphs
Primož Potočnik, Micael Toledo, Gabriel Verret
Izvirni znanstveni članek
Oznake: graphs;automorphism groups;vertex-transitive;regular orbit;cubic;tetravalent;
In this paper we investigate orders, longest cycles and the number of cycles of automorphisms of finite vertex-transitive graphs. In particular, we show that the order of every automorphism of a connected vertex-transitive graph with ▫$n$▫ vertices and of valence ▫$d$▫, ▫$d\le 4$▫, is at most ▫$c_d ...
Leto: 2024 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Transitive cornerations in maps
Micael Toledo, Alejandra Ramos Rivera, Primož Potočnik, Stephen Wilson
Izvirni znanstveni članek
Oznake: cornerations;maps;vertex-transitive group of automorphisms;
A corner in a map is an edge-vertex-edge triple consisting of two distinct edges incident to the same vertex. A corneration is a set of corners that covers every arc of the map exactly once. Cornerations in a dart-transitive map generalize the notion of a cycle structure in a symmetric graph. In thi ...
Leto: 2025 Vir: Repozitorij Univerze v Ljubljani (RUL)
Št. zadetkov: 6
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