{"id":"https://openalex.org/W2089763657","doi":"https://doi.org/10.1145/1810959.1811005","title":"A randomized <i>O</i> ( <i>m</i> log <i>m</i> ) time algorithm for computing Reeb graphs of arbitrary simplicial complexes","display_name":"A randomized <i>O</i> ( <i>m</i> log <i>m</i> ) time algorithm for computing Reeb graphs of arbitrary simplicial complexes","publication_year":2010,"publication_date":"2010-06-13","ids":{"openalex":"https://openalex.org/W2089763657","doi":"https://doi.org/10.1145/1810959.1811005","mag":"2089763657"},"language":"en","primary_location":{"id":"doi:10.1145/1810959.1811005","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1810959.1811005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-sixth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035651928","display_name":"William Harvey","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William Harvey","raw_affiliation_strings":["The Ohio State University, Columbus, OH, USA","The Ohio State University, Columbus, OH, USA.;"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA.;","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101536052","display_name":"Yusu Wang","orcid":"https://orcid.org/0000-0001-7950-4348"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yusu Wang","raw_affiliation_strings":["The Ohio State University, Columbus, OH, USA","The Ohio State University, Columbus, OH, USA.;"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA.;","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021101532","display_name":"Rephael Wenger","orcid":"https://orcid.org/0009-0000-3623-0295"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rephael Wenger","raw_affiliation_strings":["The Ohio State University, Columbus, OH, USA","The Ohio State University, Columbus, OH, USA.;"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA.;","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035651928"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":6.1504,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96700573,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"267","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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/T10799","display_name":"Data Visualization and Analytics","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/merge","display_name":"Merge (version control)","score":0.5690723657608032},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.5227130651473999},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5034598708152771},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4789629280567169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.457767516374588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4291200339794159},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3564659059047699},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3543488383293152},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3510277271270752},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10388660430908203}],"concepts":[{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.5690723657608032},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.5227130651473999},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5034598708152771},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4789629280567169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.457767516374588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4291200339794159},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3564659059047699},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3543488383293152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3510277271270752},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10388660430908203},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1810959.1811005","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1810959.1811005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-sixth annual symposium on Computational geometry","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.172.5649","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.172.5649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.ohio-state.edu/%7Ewenger/papers/Reeb_graph.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W24676101","https://openalex.org/W1575243381","https://openalex.org/W1579792143","https://openalex.org/W1954326677","https://openalex.org/W2002211861","https://openalex.org/W2003860334","https://openalex.org/W2011751494","https://openalex.org/W2018777660","https://openalex.org/W2020241809","https://openalex.org/W2024913803","https://openalex.org/W2042732213","https://openalex.org/W2073607311","https://openalex.org/W2075608792","https://openalex.org/W2077891293","https://openalex.org/W2091452023","https://openalex.org/W2093012474","https://openalex.org/W2096331512","https://openalex.org/W2100657858","https://openalex.org/W2109354433","https://openalex.org/W2122563626","https://openalex.org/W2125356322","https://openalex.org/W2130148177","https://openalex.org/W2134448913","https://openalex.org/W2135609792","https://openalex.org/W2142767916","https://openalex.org/W2165939338","https://openalex.org/W2198493461","https://openalex.org/W3017039479","https://openalex.org/W3138205514","https://openalex.org/W3138447845","https://openalex.org/W3140579943","https://openalex.org/W3145128584","https://openalex.org/W3183881215","https://openalex.org/W4285719527","https://openalex.org/W6837747933","https://openalex.org/W7029321148"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4234886518","https://openalex.org/W2389591058","https://openalex.org/W2068608913","https://openalex.org/W2382112581","https://openalex.org/W3124036233","https://openalex.org/W4229787472","https://openalex.org/W2486541857","https://openalex.org/W2108840191","https://openalex.org/W2951347506"],"abstract_inverted_index":{"Given":[0],"a":[1,11,14,20,79,95],"continuous":[2],"scalar":[3],"field":[4],"\u0192:":[5],"X":[6,9,24],"\u2192":[7],"where":[8],"is":[10,19],"topological":[12],"space,":[13],"level":[15,37,56,75],"set":[16,21],"of":[17,39,66,74,84,97],"\u0192":[18,26,40,67],"{x":[22],"\u2208":[23,34],":":[25],"(x)":[27],"=":[28],"\u03b1}":[29],"for":[30],"some":[31],"value":[32],"\u03b1":[33,48],"IR.":[35],"The":[36,63],"sets":[38,57],"can":[41],"be":[42],"subdivided":[43],"into":[44],"connected":[45,52,72],"components.":[46],"As":[47,88],"changes":[49,70],"continuously,":[50],"the":[51,55,85],"components":[53,73],"in":[54,71,94,99],"appear,":[58],"disappear,":[59],"split":[60],"and":[61,104],"merge.":[62],"Reeb":[64],"graph":[65],"encodes":[68],"these":[69],"sets.":[76],"It":[77],"provides":[78],"simple":[80],"yet":[81],"meaningful":[82],"abstraction":[83],"input":[86],"domain.":[87],"such,":[89],"it":[90],"has":[91],"been":[92],"used":[93],"range":[96],"applications":[98],"fields":[100],"such":[101],"as":[102],"graphics":[103],"scientific":[105],"visualization.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}