Abundancy of $z$-\v Solt\'es' digraphs

Stijn Cambie

Abundancy of $z$-\v Solt\'es' digraphs

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arxiv 2501.00102 v1 pith:GOVOYVEM submitted 2024-12-30 math.CO

Stijn Cambie This is my paper · ORCID

classification math.CO

keywords soltdigraphdigraphsabundancyanalogueautomorphismexampleexistence

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We prove the existence of infinitely many \v Solt\'es' digraphs, the digraph analogue of \v Solt\'es' graphs. We also give an example of a \v Solt\'es' digraph with trivial automorphism group.

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Uniform \v{S}olt\'es' hypergraphs and \v{S}olt\'es' weighted graphs
math.CO 2025-06 conditional novelty 7.0 of 10

Uniform Šoltés' hypergraphs first occur at order 10, exist for every order n >= 10 and most uniformities k >= 4, a non-regular 9-uniform example exists, and infinitely many weighted Šoltés' graphs exist.

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