Geodesic
On t-fold covers of coherent configurations
Ars Mathematica Contemporanea, Tome 14 (2018) no. 2, pp. 397-413.

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We introduce the covering configuration induced by a regular weight defined on a coherent configuration. This construction generalizes the well-known equivalence of regular two-graphs and antipodal double covers of complete graphs. It also recovers, as special cases, the rank 6 association schemes connected with regular 3-graphs, and certain extended Q-bipartite doubles of cometric association schemes. We articulate sufficient conditions on the parameters of a coherent configuration for it to arise as a covering configuration.
DOI : 10.26493/1855-3974.938.1ae
Keywords: Association scheme, coherent configuration, regular weight, double cover, two-graph, t-graph 
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Alyssa Sankey. On t-fold covers of coherent configurations. Ars Mathematica Contemporanea, Tome 14 (2018) no. 2, pp. 397-413. doi : 10.26493/1855-3974.938.1ae. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.938.1ae/

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