0 KB1064 KB119 KB200820252011Klin, MikhailPech, Christianštevilka:2letnik:4str. 205-243COBISSID:16266585ISSN:1855-3966URN:URN:NBN:SI:doc-GTNN7MJAenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaantipodal graphantipodni grafiassociation schemeautomorphism groupcombinatoricsconference matrixFoster graphgeneralized Hadamard matrixGodsil-Hensel matrixgroup ringgrupa avtomorfizmovistance regular coverkombinatorikaMathieu groupPayne's doilyrazdaljno regularen krovresolvable transversal designSchur multipliersemibiplaneTaylor graphTutte's 8-cagetwo-graphWielandt's 2-closureA new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matrices|New constructions of regular distance regular antipodal covers (in the sense of Godsil-Hensel) of complete graphs ?$K_n$? are presented. The main source of these constructions are skew generalized Hadamard matrices. It is described how to produce such a matrix of order ?$n^2$? over a group ?$T$? from an arbitrary given generalized Hadamard matrix of order ?$n$? over the same group ?$T$?. Further, a new regular cover of ?$K_{45}$? on 135 vertices is produced with the aid of a decoration of the alternating group ?$A_6$?TEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije