{"?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-GWN5PD9Q/C74E53A2-0CF5-472A-9F91-23A4A85C1246/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-GWN5PD9Q/7e1b2f6e-275b-451c-95c2-940b3e8fbd91/PDF","dcterms:extent":"229 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-GWN5PD9Q/d81c5d06-da27-46af-9088-d6191555d2d6/TEXT","dcterms:extent":"12 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-GWN5PD9Q","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2012","dc:creator":["Fowler, Patrick W.","Jaklič, Gašper","Pisanski, Tomaž"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:5"},{"@xml:lang":"sl","#text":"str. 99-105"}],"dc:identifier":["COBISSID:16272217","ISSN:1855-3966","URN:URN:NBN:SI:doc-GWN5PD9Q"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"graph spectrum"},{"@xml:lang":"en","#text":"graph theory"},{"@xml:lang":"sl","#text":"HL-indeks"},{"@xml:lang":"en","#text":"HL-index"},{"@xml:lang":"en","#text":"HOMO-LUMO map"},{"@xml:lang":"sl","#text":"HOMO-LUMO preslikava"},{"@xml:lang":"sl","#text":"spekter grafa"},{"@xml:lang":"sl","#text":"teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"HL-index of a graph|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$G$? be a simple, connected graph with ?$n$? vertices and eigenvalues ?$\\lambda_1 > \\lambda_2 \\ge \\dots \\ge \\lambda_n$?. If ?$n$? is even, define ?$H = n/2$? and ?$L = H + 1$?. If ?$n$? is odd, define ?$H = L = (n + 1)/2$?. Define the HL-index of ?$G$? to be ?$R(G) = \\max(|\\lambda_H|, |\\lambda_L|)$?. The eigenvalues ?$\\lambda_H$? and ?$\\lambda_L$? appear in chemical graph theory in the study of molecular stability. In this paper, bounds on HL-index for chemical and general graphs are studied. It is shown that there exist graphs with arbitrarily large HL-index"},{"@xml:lang":"sl","#text":"Naj bo ?$G$? enostaven povezan graf na ?$n$? vozliščih, ki ima lastne vrednosti ?$\\lambda_1 > \\lambda_2 \\ge \\dots \\ge \\lambda_n$?. Če je ?$n$? sod, definiramo ?$H = n/2$? in ?$L = H + 1$?. Če je ?$n$? lih, definiramo ?$H = L = (n + 1)/2$?. HL-indeks grafa ?$G$? je ?$R(G) = \\max(|\\lambda_H|, |\\lambda_L|)$?. Lastni vrednosti ?$\\lambda_H$? in ?$\\lambda_L$? nastopita v kemijski teoriji grafov pri študiju stabilnosti molekul. V članku študiramo ocene za HL-indeks za kemijske in splošne grafe. Dokažemo, da obstajajo grafi s poljubno velikim HL-indeksom"}],"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-GWN5PD9Q","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-GWN5PD9Q"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-GWN5PD9Q/C74E53A2-0CF5-472A-9F91-23A4A85C1246/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-GWN5PD9Q/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-GWN5PD9Q"}}}}