{"?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-5O05QTVM/ff405169-8ba7-4fd5-be3b-5ffd342e9f89/PDF","dcterms:extent":"571 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5O05QTVM/2407d468-8e29-4485-b5d3-e46fc9dc2486/TEXT","dcterms:extent":"62 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5O05QTVM/cf65d182-e100-4a9b-a62b-b7837cbf5701/PDF","dcterms:extent":"107 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5O05QTVM/7b1bac71-3891-4998-a495-3a6773510881/TEXT","dcterms:extent":"4 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-5O05QTVM","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":["Dewar, Sean","Grasegger, Georg","Legerský, Jan"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"številka:3, article  p3.05"},{"@xml:lang":"sl","#text":"str. 1-26"}],"dc:identifier":["DOI:10.26493/1855-3974.3445.d9e","ISSN:1855-3974","COBISSID_HOST:289900291","URN:URN:NBN:SI:doc-5O05QTVM"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem"},"dc:subject":[{"@xml:lang":"sl","#text":"barvanje povezav"},{"@xml:lang":"en","#text":"edge coloring"},{"@xml:lang":"en","#text":"flexible framework"},{"@xml:lang":"sl","#text":"gibljivo ogrodje"},{"@xml:lang":"en","#text":"reflection symmetry"},{"@xml:lang":"en","#text":"rigidity"},{"@xml:lang":"sl","#text":"togost"},{"@xml:lang":"sl","#text":"zrcalna simetrija"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"Constructing reflection-symmetric flexible realisations of graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"We study reflection-symmetric realisations of symmetric graphs in the plane that allow a continuous symmetry and edge-length preserving deformation. To do so, we identify a necessary combinatorial condition on graphs with reflection-symmetric flexible realisations. This condition is based on a specific type of edge colouring, where edges are assigned one of three colours in a symmetric way. From some of these colourings we also construct concrete reflection-symmetric realisations with their corresponding symmetry preserving motion. We study also a specific class of reflection-symmetric realisations consisting of triangles and parallelograms"},{"@xml:lang":"sl","#text":"V članku proučujemo zrcalno simetrične realizacije grafov v ravnini, ki dopuščajo zvezno deformacijo, pri kateri se ohranjata simetrija in dolžina povezav. V ta namen določimo potreben kombinatorični pogoj za grafe, ki premorejo zrcalno simetrične gibljive realizacije. Ta pogoj temelji na posebni vrsti barvanja povezav, pri katerem je vsaki povezavi na simetričen način prirejena ena izmed treh barv. Iz nekaterih takšnih barvanj nato skonstruiramo tudi konkretne zrcalno simetrične realizacije skupaj z ustreznim gibanjem, ki ohranja simetrijo. Poleg tega obravnavamo poseben razred zrcalno simetričnih realizacij, sestavljenih iz trikotnikov in paralelogramov"}],"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-5O05QTVM","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-5O05QTVM"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5O05QTVM/ff405169-8ba7-4fd5-be3b-5ffd342e9f89/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-5O05QTVM/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-5O05QTVM"}}}}