{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ALAKX5ER/e1e36d7d-ec9f-46c2-a68d-74ddfa9db636/PDF","dcterms:extent":"254 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ALAKX5ER/cc1ff792-8332-4143-b342-bc85597d8964/TEXT","dcterms:extent":"10 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-ALAKX5ER","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2015","dc:creator":["Gutman, Ivan","Rehman, Masood U.","Stevanović, Dragan"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:9"},{"@xml:lang":"sl","#text":"str. 109-113"}],"dc:identifier":["COBISSID:1537676228","ISSN:1855-3966","URN:URN:NBN:SI:doc-ALAKX5ER"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"complete multipartite graph"},{"@xml:lang":"en","#text":"complete split graph"},{"@xml:lang":"sl","#text":"energija grafa"},{"@xml:lang":"en","#text":"graph energy"},{"@xml:lang":"sl","#text":"polni razcepljeni graf"},{"@xml:lang":"sl","#text":"polni večdelni graf"},{"@xml:lang":"en","#text":"spectral radius of graph"},{"@xml:lang":"sl","#text":"spektralni radij grafa"},{"@xml:lang":"en","#text":"Turan graph"},{"@xml:lang":"sl","#text":"Turánov graf"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On spectral radius and energy of complete multipartite graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$K_{n_1, n_2, \\dots , n_p}$? denote the complete ?$p$?-partite graph, ?$p > 1$?, on ?$ n = n_1 + n_2 + \\dots + n_p$? vertices and let ?$n_1 \\ge n_2 \\ge \\dots \\ge n_p > 0$?. We show that for a fixed value of ?$n$?, both the spectral radius and the energy of complete ?$p$?-partite graphs are minimal for complete split graph ?$CS(n, p-1)$? and are maximal for Turán graph ?$T(n, p)$?"},{"@xml:lang":"sl","#text":"Naj ?$K_{n_1, n_2, \\dots , n_p}$? označuje polni ?$p$?-delni graf,? $p > 1$?, on ?$ n = n_1 + n_2 + \\dots + n_p$? vozliščih in naj bo ?$n_1 \\ge n_2 \\ge \\dots \\ge n_p > 0$?. Pokažemo, da sta pri fiksni vrednosti ?$n$? tako spektralni radij kot tudi energija polnega ?$p$?-delnega grafa minimalna za polni razcepljeni graf ?$CS(n, p-1)$? in da sta maksimalna za Turánov graf ?$T(n, p)$?"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-ALAKX5ER","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-ALAKX5ER"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-ALAKX5ER/e1e36d7d-ec9f-46c2-a68d-74ddfa9db636/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-ALAKX5ER/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-ALAKX5ER"}}}}