0 KB356 KB28 KB200820252008Sciriha, Ireneštevilka:1letnik:1str. 20-31COBISSID:15111257ISSN:1855-3966URN:URN:NBN:SI:doc-2G1U4SCAenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneamatematikamatrikesingularni grafiteorija grafovCoalesced and embedded nut graphs in singular graphs|A nut graph has a non-invertible (singular) 0-1 adjacency matrix with nonzero entries in every kernel eigenvector. We investigate how the concept of nut graphs emerges as an underlying theme in the theory of singular graphs. It is known that minimal configurations (MCs) are necessarily found as subgraphs of singular graphs. We construct MCs having nut graphs as subgraphs. Nut graphs can be coalesced with singular graphs at particular vertices or grown into a family of core graphs of larger nullity by adding one vertex at a time. Moreover, we propose a local enlargement of nut fullerenes and tetravalent nut graphsTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije