0 KB272 KB54 KB200820252008Ivić Weiss, AsiaMonson, Barryletnik:1številka:2str. 185-205COBISSID:15152729ISSN:1855-3966URN:URN:NBN:SI:doc-GR1OQVXLenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneamatematikasimetrični grafiteorija grafovCayley graphs and symmetric 4-polytopes|Previously we have investigated the medial layer graph ?$\mathcal{G}$? for a finite, self-dual, regular or chiral abstract 4-polytope ?$\mathcal{P}$?. Here we study the Cayley graph ?$\mathcal{C}$? on a natural group generated by polarities of ?$\mathcal{P}$?, show that $\mathcal{C}$ covers ?$\mathcal{G}$? in a readily computable way and construct ?$\mathcal{C}$? as a voltage graph over ?$\mathcal{G}$?. We then examine such symmetric graphs for several interesting families of polytopes of type ?$\{p,q,p\}$?, ?$p = 3,4,5$?TEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije