0 KB361 KB36 KB200820252013Kalmanovich, Danielštevilka:1letnik:6str. 99-115COBISSID:16470617ISSN:1855-3966URN:URN:NBN:SI:doc-JRSOCSJJenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaantipodal graphassociation schemedistance regular graph of diameter 3Godsil-Hensel matrixgroup ringTaylor graphtwo-graphOn D. G. Higman's note on regular 3-graphs|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 presentedTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije