Geodesic
The core of a vertex-transitive complementary prism
Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article no. 07, 9 p.

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The complementary prism ΓΓ̄  is obtained from the union of a graph Γ and its complement Γ̄ where each pair of identical vertices in Γ and Γ̄  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 ΓΓ̄  is a core, i.e. all its endomorphisms are automorphisms, whenever Γ is a core or its core is a complete graph.
DOI : 10.26493/1855-3974.3072.3ec
Keywords: Graph homomorphism, core, complementary prism, self-complementary graph, vertex-transitive graph 
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Marko Orel. The core of a vertex-transitive complementary prism. Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article  no. 07, 9 p. doi : 10.26493/1855-3974.3072.3ec. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.3072.3ec/

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