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Št. zadetkov: 8
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)
Cycles and symmetries in graphs
Maruša Lekše, Primož Potočnik, Micael Toledo
Doktorska disertacija
Oznake: vertex-transitive graphs;arc-transitive graphs;girth-regularity;rotary maps;consistent cycles;Oberwolfach problem;symmetry type graph conjecture;
To doktorsko delo raziskuje preplet med cikli in simetrijo v končnih grafih. Proučuje več množic ciklov, ki so invariantne za delovanje grupe avtomorfizmov (ožinski cikli, lica zemljevidov in konsistentni cikli), ter omejitve, ki jih ti cikli zahtevajo od grafa in njegove grupe avtomorfizmov. Klasif ...
Leto: 2026 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: Fakulteta za matematiko in fiziko (UL FMF)
Faithfulness in maniplexes
Gabe Cunningham, Elías Mochán, Antonio Montero, Primož Potočnik, Micael Toledo
Izvirni znanstveni članek
Oznake: maniplexes;polytopes;faithfullness;
Maniplexes generalize the flag graphs of maps and polytopes, and they have enabled the use of new techniques for constructing and analyzing polytopes. Each maniplex gives rise to a natural ranked poset of the faces and their incidence, but it is not always possible to recreate the maniplex from the ...
Leto: 2026 Vir: Repozitorij Univerze v Ljubljani (RUL)
Št. zadetkov: 8
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