{"?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-EHODHHBD/9fe12004-1955-49d2-873e-9aa37707f906/PDF","dcterms:extent":"448 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EHODHHBD/f464fe77-b412-4d5d-8028-915aa42306c9/TEXT","dcterms:extent":"74 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EHODHHBD/44ac196a-fd26-4a6a-8bd8-4bdbc140caec/PDF","dcterms:extent":"214 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EHODHHBD/1c4be29d-fa77-458f-a94b-ef937398056a/TEXT","dcterms:extent":"3 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-EHODHHBD","dcterms:issued":"2023","dc:creator":["Kelenc, Aleksander","Peterin, Iztok"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:6"},{"@xml:lang":"sl","#text":"art. P2.13 (21 str.)"}],"dc:identifier":["DOI:10.26493/2590-9770.1508.8b5","COBISSID_HOST:136454915","ISSN:2590-9770","URN:URN:NBN:SI:doc-EHODHHBD"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:source":{"@xml:lang":"sl","#text":"The art of discrete and applied mathematics"},"dc:subject":[{"@xml:lang":"en","#text":"direct-co-direct product"},{"@xml:lang":"sl","#text":"direktni-ko-direktni produkt"},{"@xml:lang":"en","#text":"disconnected graphs"},{"@xml:lang":"en","#text":"distance"},{"@xml:lang":"en","#text":"eccentricity"},{"@xml:lang":"sl","#text":"ekscentričnost"},{"@xml:lang":"sl","#text":"nepovezan graf"},{"@xml:lang":"sl","#text":"razdalja"}],"dc:title":{"@xml:lang":"sl","#text":"Distance formula for direct-co-direct product in the case of disconnected factors|"},"dc:description":[{"@xml:lang":"sl","#text":"Direct-co-direct product ?$G\\circledast H$? of graphs ?$G$? and ?$H$? is a graph on the vertex set ?$V(G)\\times V(H)$?. Two vertices ?$(g,h)$? and ?$(g',h')$? are adjacent if ?$gg'\\in E(G)$? and ?$hh'\\in E(H)$? or ?$gg'\\notin E(G)$? and ?$hh'\\notin E(H)$?. We show that if at most one factor of ?$G\\circledast H$? is connected, then the distance between two vertices of ?$G\\circledast H$? is bounded by three unless some small number of exceptions. All the exceptions are completely described which yields the distance formula"},{"@xml:lang":"sl","#text":"Direktni-ko-direktni produkt ?$G\\circledast H$? grafov ?$G$? in ?$H$? je graf na množizi vozlišč ?$V(G)\\times V(H)$?. Vozlišči ?$(g,h)$? in ?$(g',h')$? sta sosednji, če je ?$gg'\\in E(G)$? in ?$hh'\\in E(H)$? ali ?$gg'\\notin E(G)$? in ?$hh'\\notin E(H)$?. Naj bo največ eden izmed faktorjev ?$G$? in ?$H$? povezan. Pokažemo da je razdalja med dvema vozliščema v ?$G\\circledast H$? omejena s tri, razen v majhnem številu izjem. Vse izjeme so natančno popisane, kar prinese razdaljno formulo za ?$G\\circledast H$?"}],"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-EHODHHBD","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-EHODHHBD"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EHODHHBD/9fe12004-1955-49d2-873e-9aa37707f906/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-EHODHHBD/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-EHODHHBD"}}}}