{"id":"https://openalex.org/W6963728760","doi":"https://doi.org/10.2312/sgp/sgp04/085-094","title":"A data structure for non-manifold simplicial d-complexes","display_name":"A data structure for non-manifold simplicial d-complexes","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W6963728760","doi":"https://doi.org/10.2312/sgp/sgp04/085-094"},"language":"en","primary_location":{"id":"doi:10.2312/sgp/sgp04/085-094","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/085-094","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sgp/sgp04/085-094","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Floriani, Leila De","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Floriani, Leila De","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Greenfieldboyce, David","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Greenfieldboyce, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Hui, Annie","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hui, Annie","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":true,"primary_topic":{"id":"https://openalex.org/T13076","display_name":"Torture, Ethics, and Law","score":0.2184000015258789,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13076","display_name":"Torture, Ethics, and Law","score":0.2184000015258789,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10318","display_name":"Criminal Justice and Corrections Analysis","score":0.1761000007390976,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10565","display_name":"Psychopathy, Forensic Psychiatry, Sexual Offending","score":0.05869999900460243,"subfield":{"id":"https://openalex.org/subfields/3203","display_name":"Clinical Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simplicial-manifold","display_name":"Simplicial manifold","score":0.8489999771118164},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.8199999928474426},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.7340999841690063},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.6703000068664551},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.5960999727249146},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.51419997215271},{"id":"https://openalex.org/keywords/h-vector","display_name":"h-vector","score":0.4122999906539917},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.398499995470047}],"concepts":[{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.8489999771118164},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.8199999928474426},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.7340999841690063},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.6703000068664551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6589000225067139},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.5960999727249146},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.51419997215271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.446399986743927},{"id":"https://openalex.org/C127634017","wikidata":"https://www.wikidata.org/wiki/Q5627866","display_name":"h-vector","level":3,"score":0.4122999906539917},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.398499995470047},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.38960000872612},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.3849000036716461},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3472000062465668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3450999855995178},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3172999918460846},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.30649998784065247},{"id":"https://openalex.org/C85136909","wikidata":"https://www.wikidata.org/wiki/Q939272","display_name":"Incidence matrix","level":3,"score":0.2921999990940094},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2702000141143799},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26019999384880066},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.2587999999523163}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/sgp/sgp04/085-094","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/085-094","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null}],"best_oa_location":{"id":"doi:10.2312/sgp/sgp04/085-094","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp04/085-094","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null},"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],"propose":[1],"a":[2,25,30,41,66,75,90,97,100,121],"data":[3,43,123,133],"structure":[4,44,124],"for":[5,84,95,125,136],"d-dimensional":[6,126],"simplicial":[7,26,72,128,140],"complexes,":[8,129],"that":[9,48],"we":[10,79,110],"call":[11],"the":[12,46,60,103,112,117],"Simplified":[13],"Incidence":[14],"Graph":[15],"(SIG).":[16],"The":[17],"simplified":[18,113],"incidence":[19,107,114,118],"graph":[20,115],"encodes":[21],"all":[22,86],"simplices":[23],"of":[24,32,53,102],"complex":[27,104],"together":[28],"with":[29,74,116,120,131],"set":[31],"boundary":[33],"and":[34,92,130,138],"partial":[35],"co-boundary":[36],"topological":[37,87],"relations.":[38],"It":[39,56],"is":[40],"dimension-independent":[42],"in":[45],"sense":[47],"it":[49,64],"can":[50],"represent":[51],"objects":[52],"arbitrary":[54],"dimensions.":[55],"scales":[57],"well":[58],"to":[59,71],"manifold":[61,76],"case,":[62],"i.e.":[63],"exhibits":[65],"small":[67],"overhead":[68],"when":[69],"applied":[70],"complexes":[73],"domain.":[77],"Here,":[78],"present":[80],"efficient":[81],"navigation":[82],"algorithms":[83],"retrieving":[85],"relations":[88],"from":[89,99],"SIG,":[91],"an":[93,106],"algorithm":[94],"generating":[96],"SIG":[98],"representation":[101],"as":[105],"graph.":[108],"Finally,":[109],"compare":[111],"graph,":[119],"widely-used":[122],"pseudo-manifold":[127],"two":[132],"structures":[134],"specific":[135],"two-":[137],"three-dimensional":[139],"complexes.":[141]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}
