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Autor: Árnadóttir, Arnbjörg Soffía, Gordeev, Alexey, Lato, Sabrina, Randrianarisoa, Tovohery, Vermant, Joannes

Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properties. We also show how these Cayley incidence graphs relate to various n

Externí odkaz: http://arxiv.org/abs/2411.19428

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P-Polynomial and Bipartite Coherent Configurations

Autor: Lato, Sabrina

We introduce the notion of P-polynomial coherent configurations and show that they can have at most two fibres. We then introduce a class of two-fibre coherent configurations which have two distinguished bases for the coherent algebra, similar to the

Externí odkaz: http://arxiv.org/abs/2405.01493

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Polynomial Characterizations of Distance-Biregular Graphs

Autor: Lato, Sabrina

Fiol, Garriga, and Yebra introduced the notion of pseudo-distance-regular vertices, which they used to develop a new characterization of distance-regular graphs. Building on that work, Fiol and Garriga developed the spectral excess theorem for distan

Externí odkaz: http://arxiv.org/abs/2210.07139

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