{"id":"https://openalex.org/W1523711741","doi":"https://doi.org/10.37236/578","title":"A Decomposition Algorithm for the Oriented Adjacency Graph of the Triangulations of a Bordered Surface with Marked Points","display_name":"A Decomposition Algorithm for the Oriented Adjacency Graph of the Triangulations of a Bordered Surface with Marked Points","publication_year":2011,"publication_date":"2011-04-21","ids":{"openalex":"https://openalex.org/W1523711741","doi":"https://doi.org/10.37236/578","mag":"1523711741"},"language":"en","primary_location":{"id":"doi:10.37236/578","is_oa":true,"landing_page_url":"https://doi.org/10.37236/578","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p91/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p91/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028162311","display_name":"Weiwen Gu","orcid":null},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiwen Gu","raw_affiliation_strings":["Department of Mathematics Michigan State University, East Lansing, USA","Michigan State University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Michigan State University, East Lansing, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Michigan State University","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028162311"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":0.3762,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.54344177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6996949911117554},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.691301167011261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6382878422737122},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6273342967033386},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5212138891220093},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4779201149940491},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.461550235748291},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.41399022936820984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.400229811668396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37415963411331177},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.062278181314468384}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6996949911117554},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.691301167011261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6382878422737122},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6273342967033386},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5212138891220093},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4779201149940491},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.461550235748291},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.41399022936820984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.400229811668396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37415963411331177},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.062278181314468384},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/578","is_oa":true,"landing_page_url":"https://doi.org/10.37236/578","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p91/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.372.8792","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.8792","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/v18i1p91/pdf/","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/578","is_oa":true,"landing_page_url":"https://doi.org/10.37236/578","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p91/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1523711741.pdf","grobid_xml":"https://content.openalex.org/works/W1523711741.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1966145121","https://openalex.org/W2153279415"],"related_works":["https://openalex.org/W4213150077","https://openalex.org/W2369410163","https://openalex.org/W2982430984","https://openalex.org/W2078477160","https://openalex.org/W2059018062","https://openalex.org/W2604585036","https://openalex.org/W2374493932","https://openalex.org/W2952554563","https://openalex.org/W1991172810","https://openalex.org/W2369500278"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,56],"consider":[4],"an":[5,21,31],"oriented":[6,28,32,41,65],"version":[7],"of":[8,11,13,35,51,85,96],"adjacency":[9,33],"graphs":[10,67],"triangulations":[12],"bordered":[14],"surfaces":[15],"with":[16,68],"marked":[17],"points.":[18],"We":[19,72],"develop":[20],"algorithm":[22,48,77,90],"that":[23,59],"determines":[24,79],"whether":[25,80],"a":[26,36,39,54,75,81],"given":[27,40,82],"graph":[29,34,42],"is":[30,84,91,99],"triangulation.":[37],"If":[38],"corresponds":[43],"to":[44],"many":[45,64],"triangulations,":[46],"our":[47],"finds":[49],"all":[50],"them.":[52],"As":[53],"corollary":[55],"find":[57],"out":[58],"there":[60],"are":[61],"only":[62],"finitely":[63],"connected":[66],"non-unique":[69],"associated":[70],"triangulations.":[71],"also":[73],"discuss":[74],"new":[76],"which":[78],"quiver":[83],"finite":[86],"mutation":[87],"type.":[88],"This":[89],"linear":[92],"in":[93],"the":[94,103],"number":[95],"nodes":[97],"and":[98],"more":[100],"effective":[101],"than":[102],"previously":[104],"known":[105],"one.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
