0 KB263 KB24 KB200820252013Erić, AleksandraFonseca, Carlos Martins daštevilka:2letnik:6str. 279-288COBISSID:16474969ISSN:1855-3966URN:URN:NBN:SI:doc-0S401TE5enDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaeigenvaluesgraphinverse eigenvalue problemmatrixmultiplicitiesteorija grafovtreeUnordered multiplicity lists of wide double paths|Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a ?$\Phi$?-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting of two paths that are joined by another path. Some introductory considerations for dumbbell graphs are mentioned regarding the maximum multiplicity of the eigenvalues. Lastly, three research problems are formulatedTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije