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1.
The core of a vertex-transitive complementary prism
Marko Orel, 2023, izvirni znanstveni članek

Opis: The complementary prism ▫$\Gamma \overline{\Gamma}$▫ is obtained from the union of a graph ▫$\Gamma$▫ and its complement ▫$\overline{\Gamma}$▫ where each pair of identical vertices in ▫$\Gamma$▫ and ▫$\overline{\Gamma}$▫ is joined by an edge. It generalizes the Petersen graph, which is the complementary prism of the pentagon. The core of a vertex-transitive complementary prism is studied. In particular, it is shown that a vertex-transitive complementary prism ▫$\Gamma \overline{\Gamma}$▫ is a core, i.e. all its endomorphisms are automorphisms, whenever ▫$\Gamma$▫ is a core or its core is a complete graph.
Ključne besede: graph homomorphism, complementary prism, self-complementary graph, vertex-transitive graph, core
Objavljeno v RUP: 06.11.2023; Ogledov: 780; Prenosov: 5
.pdf Celotno besedilo (305,54 KB)

2.
On 12-regular nut graphs
Nino Bašić, Martin Knor, Riste Škrekovski, 2021, izvirni znanstveni članek

Ključne besede: nut graph, adjacency matrix, singular matrix, core graph, Fowler construction, regular graph
Objavljeno v RUP: 16.07.2021; Ogledov: 1095; Prenosov: 25
URL Povezava na celotno besedilo

3.
Existence of regular nut graphs for degree at most 11
Patrick W. Fowler, John Baptist Gauci, Jan Goedgebeur, Tomaž Pisanski, Irene Sciriha, 2020, izvirni znanstveni članek

Ključne besede: nut graph, core graph, regular graph, nullity
Objavljeno v RUP: 06.05.2021; Ogledov: 843; Prenosov: 0

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