360 KB47 KB200820252014Hellmuth, MarcLeydold, JosefStadler, Peter F.številka:1letnik:7str. 123-140COBISSID:16795737ISSN:1855-3966URN:URN:NBN:SI:doc-LJCTN6ITenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaCartesian productconvex subgraphcycle basisisometric subgraphpartial cubesteorija grafovConvex cycle bases|Convex cycles play a role e.g. in the context of product graphs. We introduce convex cycle bases and describe a polynomial-time algorithm that recognizes whether a given graph has a convex cycle basis and provides an explicit construction in the positive case. Relations between convex cycles bases and other types of cycles bases are discussed. In particular we show that if ?$G$? has a unique minimal cycle bases, this basis is convex. Furthermore, we characterize a class of graphs with convex cycles bases that includes partial cubes and hence median graphsTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije