A family of multiply extended grids |
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Authors: | Thomas Meixner Antonio Pasini |
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Affiliation: | (1) Mathematisches Institut, Justus-Liebig-Universität, Arndtstraße 2, 35392 Gießen, Deutschland;(2) Dipartimento di Matematica, Universita di Siena, Via del Capitano 15, 53100 Siena, Italia |
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Abstract: | We construct an infinite family{n}n=5 of finite connected graphsn that are multiple extensions of the well-known extended grid discovered in [1] (which is isomorphic to5). The graphsn are locallyn–1 forn > 5, and have the following property: the automorphism groupG(n) ofn permutes transitively the maximal cliques ofn (which aren-cliques) and the stabilizer of somen-clique ofn inG(n) inducesn on the vertices of. Furthermore we show that the clique complexes of the graphsn are simply connected. |
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