{"?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-STAYWRQ0/2ad8cf3c-88d2-4da3-9599-0442ae92935e/PDF","dcterms:extent":"1133 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-STAYWRQ0/862c142b-d678-49cb-a2c7-b37adfc4f814/TEXT","dcterms:extent":"87 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-STAYWRQ0/e2102674-d687-427f-9115-cccea4256ef6/PDF","dcterms:extent":"139 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-STAYWRQ0/90ffd63b-9721-4dae-b477-392dc7a80a74/TEXT","dcterms:extent":"5 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-STAYWRQ0","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2026","dc:creator":["Fowler, Patrick W.","MacGillivray, Gary","Myrvold, Wendy","Slobodin, Aaron"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1, article  p1.07"},{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"str. 1-38"}],"dc:identifier":["DOI:10.26493/1855-3974.3282.6ea","ISSN:1855-3974","COBISSID_HOST:288372739","URN:URN:NBN:SI:doc-STAYWRQ0"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem"},"dc:subject":[{"@xml:lang":"en","#text":"anionic Clar number"},{"@xml:lang":"sl","#text":"anionsko Clarjevo število"},{"@xml:lang":"en","#text":"chemical graph theory"},{"@xml:lang":"sl","#text":"fulereni"},{"@xml:lang":"en","#text":"fullerenes"},{"@xml:lang":"sl","#text":"kemijska teorija grafov"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"Tight upper bounds for the p-anionic Clar number of fullerenes|"},"dc:description":[{"@xml:lang":"sl","#text":"A fullerene is an all-carbon molecule with a polyhedral structure where each atom is bonded to three other atoms and each face is either a pentagon or a hexagon. Fullerenes correspond to 3-regular planar graphs whose faces have sizes 5 or 6. The p-anionic Clar number C_(p)(G) of a fullerene G is equal to p + h, where h is maximized over all choices of p + h independent faces (exactly p pentagons and h hexagons) the deletion of whose vertices leave a graph with a perfect matching. This definition is motivated by the chemical observation that pentagonal rings can accommodate an extra electron, so that the pentagons of a fullerene with charge -p, compete with the hexagons to host ‘Clar sextets’ of six electrons, and pentagons will preferentially acquire the p excess electrons of the anion. Tight upper bounds are established for the p-anionic Clar number of fullerenes for p > 0. The upper bounds are derived via graph theoretic arguments and new results on minimal cyclic-k-edge cutsets in IPR fullerenes (fullerenes that have all pentagons pairwise disjoint). These bounds are shown to be tight by infinite families of fullerenes that achieve them"},{"@xml:lang":"sl","#text":"Fuleren je molekula, sestavljena iz ogljikovih atomov s poliedrsko strukturo, kjer je vsak atom vezan na tri druge atome, vsaka ploskev pa je bodisi petkotnik bodisi šestkotnik. Fulereni ustrezajo 3-regularnim ravninskim grafom, katerih ploskve imajo velikost 5 ali 6. p-anionsko Clarjevo število Cp(G) fulerena G je enako p + h, kjer je h maksimalno glede na vse izbire p + h neodvisnih ploskev (natančno p petkotnikov in h šestkotnikov), katerih odstranjevanje vozlišč pusti graf s popolnim prirejanjem. Ta definicija izhaja iz kemijskega opažanja, da lahko petkotni obroči sprejmejo dodaten elektron, tako da se petkotniki fulerena z nabojem -p tekmujejo s šestkotniki za gostovanje »Clarjevih sekstetov« šestih elektronov, pri čemer petkotniki prednostno pridobijo p presežnih elektronov aniona. Vzpostavljene so stroge zgornje meje za p-anionsko Clarjevo število fulerenov za p > 0. Zgornje meje so izpeljane z grafovnimi argumenti in novimi rezultati o minimalnih cikličnih k-robnih rezih v IPR fulerenih (fulereni, ki imajo vse petkotnike paroma disjunktne). Te meje se izkažejo za ostre z neskončnimi družinami fulerenov, ki jih dosežejo"}],"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-STAYWRQ0","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-STAYWRQ0"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-STAYWRQ0/2ad8cf3c-88d2-4da3-9599-0442ae92935e/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-STAYWRQ0/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-STAYWRQ0"}}}}