Geodesic
On D. G. Higman's note on regular 3-graphs
Ars Mathematica Contemporanea, Tome 6 (2013) no. 1, pp. 99-115.

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We introduce the notion of a t-graph and prove that regular 3-graphs are equivalent to cyclic antipodal 3-fold covers of a complete graph. This generalizes the equivalence of regular two-graphs and Taylor graphs. As a consequence, an equivalence between cyclic antipodal distance regular graphs of diameter 3 and certain rank 6 commutative association schemes is proved. New examples of regular 3-graphs are presented.
DOI : 10.26493/1855-3974.243.260
Keywords: Antipodal graph, association scheme, distance regular graph of diameter 3, Godsil-Hensel matrix, group ring, Taylor graph, two-graph. 
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Daniel Kalmanovich. On D. G. Higman's note on regular 3-graphs. Ars Mathematica Contemporanea, Tome 6 (2013) no. 1, pp. 99-115. doi : 10.26493/1855-3974.243.260. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.243.260/

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