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1.
The core of a vertex-transitive complementary prism
Marko Orel, 2023, original scientific article

Abstract: 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.
Keywords: graph homomorphism, complementary prism, self-complementary graph, vertex-transitive graph, core
Published in RUP: 06.11.2023; Views: 695; Downloads: 3
.pdf Full text (305,54 KB)

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A family of non-Cayley cores that are constructed from vertex-transitive or strongly regular self-complementary graphs
Marko Orel, 2021, published scientific conference contribution abstract

Keywords: cores, graph homomorphisms, automorphism group, self-complementary graphs
Published in RUP: 30.07.2021; Views: 981; Downloads: 73
URL Link to full text
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5.
A family of non-Cayley cores that are constructed from vertex-transitive or strongly regular self-complementary graphs
Marko Orel, 2021, published scientific conference contribution abstract

Keywords: cores, graph homomorphisms, automorphism group, self-complementary graphs
Published in RUP: 30.07.2021; Views: 1192; Downloads: 42
.pdf Full text (1,01 MB)
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Rank-one nonincreasing maps on symmetric matrices over small fields
Marko Orel, 2019, published scientific conference contribution abstract

Keywords: preserver problems, rank, finite fields
Published in RUP: 22.05.2019; Views: 1670; Downloads: 67
.pdf Full text (408,23 KB)
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9.
Verjetnostna metoda : zaključna naloga
Neja Skočir, 2018, undergraduate thesis

Keywords: kombinatorika, verjetnostna metoda
Published in RUP: 17.09.2018; Views: 1953; Downloads: 53
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Wittov izrek : zaključna naloga
Narmina Baghirova, 2018, undergraduate thesis

Keywords: Witt's theorem, linear algebra, bilinear forms
Published in RUP: 17.09.2018; Views: 2052; Downloads: 39
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