{"?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-ZHYMN2UK/44c1ab87-3e36-47d1-95a3-34e68be7d468/PDF","dcterms:extent":"367 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ZHYMN2UK/0db03195-0254-4d67-ada1-0d9dc525cc66/TEXT","dcterms:extent":"34 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-ZHYMN2UK","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":["Hernando, Carmen","Mora, Merce","Pelayo, Ignacio M."],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 365-379"}],"dc:identifier":["COBISSID:17377625","ISSN:1855-3966","URN:URN:NBN:SI:doc-ZHYMN2UK"],"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":"block-cactus"},{"@xml:lang":"sl","#text":"bločni kaktusni graf"},{"@xml:lang":"en","#text":"complement graph"},{"@xml:lang":"sl","#text":"dominacija"},{"@xml:lang":"en","#text":"domination"},{"@xml:lang":"en","#text":"global domination"},{"@xml:lang":"sl","#text":"globalna dominacija"},{"@xml:lang":"sl","#text":"komplementarni graf"},{"@xml:lang":"en","#text":"locating domination"},{"@xml:lang":"sl","#text":"lokacijska dominacija"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On global location-domination in graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"A dominating set ?$S$? of a graph ?$G$? is called locating-dominating, LD-set for short, if every vertex ?$v$? not in ?$S$? is uniquely determined by the set of neighbors of ?$v$? belonging to ?$S$?. Locating-dominating sets of minimum cardinality are called LD-codes and the cardinality of an LD-code is the location-domination number ?$\\lambda(G)$?. An LD-set ?$S$? of a graph ?$G$? is global if it is an LD-set of both ?$G$? and its complement ?$\\overline{G}$?. The global location-domination number ?$\\lambda_g(G)$? is introduced as the minimum cardinality of a global LD-set of ?$G$?. In this paper, some general relations between LD-codes and the location-domination number in a graph and its complement are presented first. Next, a number of basic properties involving the global location-domination number are showed. Finally, both parameters are studied in-depth for the family of block-cactus graphs"},{"@xml:lang":"sl","#text":"Dominantna množica ?$S$? grafa ?$G$? se imenuje lokacijsko dominantna, na kratko LD-množica, če je vsako vozlišče ?$v$?, ki ni v ?$S$?, enolično določeno z množico sosedov vozlišča ?$v$?, ki pripadajo množici ?$S$?. Lokacijsko dominantne množice minimalne moči se imenujejo LD-kode, moč LD-kode pa je lokacijsko dominantno število ?$\\lambda(G)$?. LD-množica ?$S$? grafa ?$G$? je globalna, če je LD-množica tako grafa ?$G$? kot tudi njegovega komplementa ?$\\overline{G}$?. Globalno lokacijsko dominantno število ?$\\lambda_g(G)$? je definirano kot minimalna moč globalne LD-množice grafa ?$G$?. V tem članku najprej predstavimo nekaj splošnih relacij med LD-kodami in lokacijsko dominantnim številom v grafu in njegovem komplementu. Nadalje izpeljemo nekaj osnovnih lastnosti globalnega lokacijskega dominantnega števila. Nazadnje podrobneje raziščemo oba parametra za družino bločnih kaktusnih grafov"}],"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-ZHYMN2UK","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-ZHYMN2UK"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ZHYMN2UK/44c1ab87-3e36-47d1-95a3-34e68be7d468/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-ZHYMN2UK/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-ZHYMN2UK"}}}}