{"?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-7K8YBTI9/005478fa-7d61-434b-aabc-edfd3371e7b3/PDF","dcterms:extent":"378 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-7K8YBTI9/d4c5fb34-6f92-4db0-9c33-02e6eb11faf9/TEXT","dcterms:extent":"41 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-7K8YBTI9","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":"Donno, Alfredo","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"str. 207-225"}],"dc:identifier":["COBISSID:18200409","ISSN:1855-3966","URN:URN:NBN:SI:doc-7K8YBTI9"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"matrika sosednosti"},{"@xml:lang":"sl","#text":"razdaljna matrika"},{"@xml:lang":"sl","#text":"razdaljni spekter"},{"@xml:lang":"sl","#text":"spekter"},{"@xml:lang":"sl","#text":"venčni produkt polnih grafov"},{"@xml:lang":"sl","#text":"Wienerjev indeks"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Spectrum, distance spectrum, and Wiener index of wreath products of complete graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"We describe the adjacency matrix and the distance matrix of the wreath product of two complete graphs, and we give an explicit computation of their spectra. As an application, we deduce the spectrum of the transition matrix of the Lamplighter random walk over a complete base graph, with a complete color graph. Finally, an explicit computation of the Wiener index is given"},{"@xml:lang":"sl","#text":"Opišemo matriko sosednosti in razdaljno matriko venčnega produkta dveh polnih grafov in podamo ekspliciten izračun njunih spektrov. Kot primer uporabe izpeljemo spekter prehodne matrike Lamplighterjevega naključnega sprehoda nad polnim osnovnim grafom s polnim barvnim grafom. Podamo tudi ekspliciten izračun Wienerjevega indeksa"}],"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-7K8YBTI9","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-7K8YBTI9"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-7K8YBTI9/005478fa-7d61-434b-aabc-edfd3371e7b3/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-7K8YBTI9/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-7K8YBTI9"}}}}