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arXiv · 1811.11438

An infinite family of locally X graphs based on incidence geometries

Natalia Garcia-Colin·Dimitri Leemans
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Abstract

A graph ${\mathcal G}$ is locally X if the graphs induced on the neighbours of every vertex of ${\mathcal G}$ are isomorphic to the graph $X$. We prove that the infinite family of incidence graphs of the $r$-rank incidence geometries, $Γ(KG(n,k),r)$, constructed using the Kneser graphs $KG(n,k)$, are locally $X$ with $X$ being the incidence graphs of the rank $r-1$ residues of $Γ(KG(n,k),r)$.

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Natalia Garcia-Colin, Dimitri Leemans. 2018-11-28. An infinite family of locally X graphs based on incidence geometries. https://arxiv.org/abs/1811.11438

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