0 KB604 KB44 KB200820252013Dejter, Ítalo Joséštevilka:2letnik:6str. 221-236COBISSID:16473689ISSN:1855-3966URN:URN:NBN:SI:doc-YSGVM92WenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaCayley graphdistance-transitive graphgraph theoryteorija grafovultrahomogeneous graphOrienting and separating distance-transitive graphs|It is shown that exactly 7 distance-transitive cubic graphs among the existing 12 possess a particular ultrahomogeneous property with respect to oriented cycles realizing the girth that allows the construction of a related Cayley digraph with similar ultrahomogeneous properties in which those oriented cycles appear minimally "pulled apart", or "separated" and whose description is truly beautiful and insightful. This work is proposed as the initiation of a study of similar ultrahomogeneous properties for distance-transitive graphs in general with the aim of generalizing to constructions of similar related "separator" Cayley digraphsTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije