{"?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-VMNABAYY/644d29cf-22ce-4e06-8414-91071469aafc/PDF","dcterms:extent":"420 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VMNABAYY/2847cdd5-9369-4a8f-b409-4cbe97397379/TEXT","dcterms:extent":"48 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VMNABAYY/79ef8389-7f95-4c74-ba06-b4bde373b8bb/PDF","dcterms:extent":"95 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-VMNABAYY/37ff83bc-085f-459a-9935-30a01bb1106f/TEXT","dcterms:extent":"3 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-VMNABAYY","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2023","dc:creator":["Belardo, Francesco","Stanić, Zoran","Zaslavsky, Thomas"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:23"},{"@xml:lang":"sl","#text":"art. P1.02 (17 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2842.6b5","COBISSID_HOST:143663363","ISSN:1855-3966","URN:URN:NBN:SI:doc-VMNABAYY"],"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":"bidirected graph"},{"@xml:lang":"en","#text":"Cartesian product graph"},{"@xml:lang":"sl","#text":"dvosmerni graf"},{"@xml:lang":"sl","#text":"graf kartezičnega produkta"},{"@xml:lang":"en","#text":"graph eigenvalues"},{"@xml:lang":"sl","#text":"lastne vrednosti grafa"},{"@xml:lang":"sl","#text":"pravilni predznačeni graf"},{"@xml:lang":"sl","#text":"predznačeni graf povezav"},{"@xml:lang":"sl","#text":"predznačeni združeni graf"},{"@xml:lang":"en","#text":"regular signed graph"},{"@xml:lang":"en","#text":"signed line graph"},{"@xml:lang":"en","#text":"signed total graph"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Total graph of a signed graph|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper we introduce a product-like operation that generalizes the construction of the generalized Sierpiński graphs. Let The total graph is built by joining the graph to its line graph by means of the incidences. We introduce a similar construction for signed graphs. Under two similar defnitions of the line signed graph, we defne the corresponding total signed graph and we show that it is stable under switching. We consider balance, the frustration index and frustration number, and the largest eigenvalue. In the regular case we compute the spectrum of the adjacency matrix of the total graph and the spectra of certain compositions, and we determine some with exactly two main eigenvalues"},{"@xml:lang":"sl","#text":"Združeni graf je zgrajen tako, da se graf združi z njegovim povezavnim grafom s pomočjo incidenc. Podobno konstrukcijo vpeljemo za predznačene grafe. Z dvema podobnima definicijama povezavnega predznačenega grafa definiramo ustrezen združeni predznačeni graf in pokažemo, da se le-ta pri operaciji preklapljanja ohranja. Upoštevamo ravnotežje, frustracijski indeks in frustracijsko število ter največjo lastno vrednost. V regularnem primeru izračunamo spekter matrike sosednosti združenega grafa in spektre določenih sestavov, in prikažemo tiste z natanko dvema glavnima lastnima vrednostima"}],"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-VMNABAYY","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-VMNABAYY"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-VMNABAYY/644d29cf-22ce-4e06-8414-91071469aafc/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-VMNABAYY/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-VMNABAYY"}}}}