{"?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-RUDPHE00/07a5b1bc-dbe8-48df-9b53-5eed3aca0b44/PDF","dcterms:extent":"1660 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-RUDPHE00/96860ec1-d5d7-421e-8112-e8ee2130afe0/TEXT","dcterms:extent":"39 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-RUDPHE00/7685b676-1e3a-454e-8d9c-75fc8fd7cf96/PDF","dcterms:extent":"121 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-RUDPHE00/9c39be55-305e-4e30-8974-1d6429f228bc/TEXT","dcterms:extent":"3 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-RUDPHE00","dcterms:issued":"2025","dc:creator":["Zhang, Bo","Zhang, Heping","Zhang, Yaxian"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:1"},{"@xml:lang":"sl","#text":"številka:1, article   p1.02"},{"@xml:lang":"sl","#text":"str. 1-16"}],"dc:identifier":["DOI:10.26493/2820-6657.4.a42","ISSN:2820-6657","COBISSID_HOST:285417731","URN:URN:NBN:SI:doc-RUDPHE00"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"University of Primorska"},"dc:source":{"@xml:lang":"sl","#text":"Discrete mathematical chemistry"},"dc:subject":[{"@xml:lang":"en","#text":"convex hexagonal system"},{"@xml:lang":"en","#text":"forcing number"},{"@xml:lang":"en","#text":"forcing spectrum"},{"@xml:lang":"sl","#text":"konveksen heksagonalni sistem"},{"@xml:lang":"en","#text":"perfect matching"},{"@xml:lang":"sl","#text":"popolno prirejanje"},{"@xml:lang":"sl","#text":"prisilni spekter"},{"@xml:lang":"sl","#text":"prisilno število"}],"dc:title":{"@xml:lang":"sl","#text":"Continuous forcing spectra of perfect matchingsof convex hexagonal systems|"},"dc:description":[{"@xml:lang":"sl","#text":"A convex hexagonal system is a hexagonal system whose inner dual graph has a convex polygonal boundary. A forcing set S for a perfect matching M of a graph G is a subset of M that is contained in no other perfect matchings of G. The smallest cardinality of a forcing set of M is called the forcing number of M, denoted by f (G, M). The forcing spectrum of G is defined as: Spec(G) ={f(G, M)|M is a perfect matching of G}. In this paper, we show that for any convex hexagonal system O(m, k, n) with a perfect matching, it s forcing spectrum is continuous (or an integer interval)"},{"@xml:lang":"sl","#text":"Konveksen heksagonalni sistem je heksagonalni sistem, katerega notranji dualni grafi ma konveksen poligonalni rob. Prisilna množica S popolnega prirejanja M grafa G je podmnožica množice M, ki ni vsebovana v nobenem drugem popolnem prirejanju grafa G. Najmanjša kardinalnost prisilne množice prirejanja M se imenuje prisilno število prirejanja M, označimo pa ga s f(G, M). Prisilni spekter grafa G je definiran kot: Spec (G) ={f(G, M)|M je popolno prirejanje grafa G}. V tem članku pokažemo, da je za vsak konveksen heksagonalni sistem O(m, k, n) s popolnim prirejanjem njegov prisilni spekter zvezen (je celoštevilski interval)"}],"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-RUDPHE00","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-RUDPHE00"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-RUDPHE00/07a5b1bc-dbe8-48df-9b53-5eed3aca0b44/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by-sa/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"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-RUDPHE00/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-RUDPHE00"}}}}