{"id":"https://openalex.org/W7139948058","doi":"https://doi.org/10.48550/arxiv.2603.18812","title":"Central Triangulation under Parallel Flip Operations: The CG:SHOP Challenge 2026","display_name":"Central Triangulation under Parallel Flip Operations: The CG:SHOP Challenge 2026","publication_year":2026,"publication_date":"2026-03-19","ids":{"openalex":"https://openalex.org/W7139948058","doi":"https://doi.org/10.48550/arxiv.2603.18812"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.18812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18812","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.18812","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5130239799","display_name":"Oswin Aichholzer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aichholzer, Oswin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130222840","display_name":"Joseph Dorfer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dorfer, Joseph","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015542807","display_name":"S\u00e1ndor P. Fekete","orcid":"https://orcid.org/0000-0002-9062-4241"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fekete, S\u00e1ndor P.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130250691","display_name":"Phillip Keldenich","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Keldenich, Phillip","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130215693","display_name":"Peter Kramer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kramer, Peter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005637149","display_name":"Stefan Schirra","orcid":"https://orcid.org/0009-0006-5928-1494"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schirra, Stefan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9495999813079834,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9495999813079834,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.010900000110268593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.006099999882280827,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.8640000224113464},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7796000242233276},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6370000243186951},{"id":"https://openalex.org/keywords/pitteway-triangulation","display_name":"Pitteway triangulation","score":0.6248999834060669},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5454000234603882},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5065000057220459},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48750001192092896}],"concepts":[{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.8640000224113464},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7796000242233276},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6370000243186951},{"id":"https://openalex.org/C178609930","wikidata":"https://www.wikidata.org/wiki/Q3538712","display_name":"Pitteway triangulation","level":3,"score":0.6248999834060669},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5454000234603882},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5065000057220459},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48750001192092896},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4697999954223633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4625000059604645},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.45969998836517334},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.4544000029563904},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41260001063346863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39800000190734863},{"id":"https://openalex.org/C39969762","wikidata":"https://www.wikidata.org/wiki/Q6865406","display_name":"Minimum-weight triangulation","level":4,"score":0.3828999996185303},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.37610000371932983},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33809998631477356},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.302700012922287},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2718000113964081}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.18812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18812","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.18812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18812","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2],"overview":[3],"of":[4,13,24,33,36,44,57,59,86,92],"the":[5,11,30,45,84,93],"2026":[6],"Computational":[7],"Geometry":[8],"Challenge":[9],"targeting":[10],"problem":[12],"finding":[14],"a":[15,34,39,55,60,66,80],"Central":[16],"Triangulation":[17],"under":[18],"Parallel":[19],"Flip":[20],"Operations":[21],"in":[22,38],"triangulations":[23,58],"point":[25,62],"sets.":[26],"A":[27],"flip":[28,73,87],"is":[29],"parallel":[31,72],"exchange":[32],"set":[35,56],"edges":[37],"triangulation":[40,68,81],"with":[41,69],"opposing":[42],"diagonals":[43],"convex":[46],"quadrilaterals":[47],"containing":[48],"them.":[49],"The":[50],"challenge":[51],"objective":[52],"was,":[53],"given":[54],"fixed":[61],"set,":[63],"to":[64,71,89],"determine":[65],"central":[67],"respect":[70],"distances.":[74],"More":[75],"precisely,":[76],"this":[77],"asks":[78],"for":[79],"that":[82],"minimizes":[83],"sum":[85],"distances":[88],"all":[90],"elements":[91],"input":[94]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-03-21T00:00:00"}
