0 KB252 KB13 KB200820252010Hammack, Richard H.Livesay, Neal D.številka:2letnik:3str. 193-199COBISSID:15869785ISSN:1855-3966URN:URN:NBN:SI:doc-A2I7DE6ZenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneagrafimatematikaThe inner power of a graph|We define a new graph operation called the ?$k$?th inner power. The construction - which is somewhat analogous to the ?$k$?th power with respect to the direct product - seems to lend itself nicely to certain questions concerning cancellation over the direct product. We prove several results about bipartiteness and connectedness of inner powers, and we prove that the inner power distributes over the direct product. We explore a potential connection between inner powers and the problem of cancellation over the direct productTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije