{"id":"https://openalex.org/W1987227236","doi":"https://doi.org/10.1137/s0895480104445885","title":"Computing Optimal Morse Matchings","display_name":"Computing Optimal Morse Matchings","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1987227236","doi":"https://doi.org/10.1137/s0895480104445885","mag":"1987227236"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480104445885","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480104445885","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5035639170","display_name":"Michael Joswig","orcid":"https://orcid.org/0000-0002-4974-9659"},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Joswig","raw_affiliation_strings":["Institut f\u00fcr Mathematik, MA 6-2, TU Berlin, 10623 Berlin, Germany","Zuse Institute Berlin, Takustr. 7, 14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, MA 6-2, TU Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Zuse Institute Berlin, Takustr. 7, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I195893171"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033982876","display_name":"Marc E. Pfetsch","orcid":"https://orcid.org/0000-0002-0947-7193"},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marc E. Pfetsch","raw_affiliation_strings":["Institut f\u00fcr Mathematik, MA 6-2, TU Berlin, 10623 Berlin, Germany","Zuse Institute Berlin, Takustr. 7, 14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, MA 6-2, TU Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Zuse Institute Berlin, Takustr. 7, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I195893171"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9692,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.75258834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"1","first_page":"11","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9878000020980835,"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":0.9836999773979187,"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/morse-code","display_name":"Morse code","score":0.857952356338501},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.783165454864502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6810466051101685},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6527320742607117},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.6285358667373657},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4689936935901642},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4342110753059387},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3604710102081299},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.32524171471595764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31172245740890503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2035907804965973},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10992449522018433}],"concepts":[{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.857952356338501},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.783165454864502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6810466051101685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6527320742607117},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.6285358667373657},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4689936935901642},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4342110753059387},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3604710102081299},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.32524171471595764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31172245740890503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2035907804965973},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10992449522018433},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0895480104445885","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480104445885","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.89.3421","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.89.3421","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://opus.kobv.de/zib/volltexte/2004/813/pdf/ZR-04-37.pdf","raw_type":"text"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:26267","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/26267/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W588032555","https://openalex.org/W1496383623","https://openalex.org/W1527837582","https://openalex.org/W1532702306","https://openalex.org/W1617730875","https://openalex.org/W1868230158","https://openalex.org/W1967535666","https://openalex.org/W1974956622","https://openalex.org/W1977783526","https://openalex.org/W1978075961","https://openalex.org/W1992253452","https://openalex.org/W2003995429","https://openalex.org/W2015161630","https://openalex.org/W2022805865","https://openalex.org/W2042649619","https://openalex.org/W2042847888","https://openalex.org/W2045097502","https://openalex.org/W2057346848","https://openalex.org/W2060514920","https://openalex.org/W2063808153","https://openalex.org/W2064020260","https://openalex.org/W2079055081","https://openalex.org/W2079180878","https://openalex.org/W2081349787","https://openalex.org/W2099103397","https://openalex.org/W2156490255","https://openalex.org/W2233474732","https://openalex.org/W2486762503","https://openalex.org/W2988480584","https://openalex.org/W2998757566","https://openalex.org/W4297399141"],"related_works":["https://openalex.org/W2037435271","https://openalex.org/W1595332435","https://openalex.org/W4389768470","https://openalex.org/W1976948755","https://openalex.org/W4308897745","https://openalex.org/W2106662121","https://openalex.org/W2788487518","https://openalex.org/W2182193748","https://openalex.org/W4281700539","https://openalex.org/W2324556229"],"abstract_inverted_index":{"Morse":[0,9,16],"matchings":[1,17],"capture":[2],"the":[3,27,35],"essential":[4],"structural":[5],"information":[6],"of":[7],"discrete":[8],"functions.":[10],"We":[11],"show":[12],"that":[13],"computing":[14],"optimal":[15],"is":[18],"NP-hard":[19],"and":[20,38],"give":[21],"an":[22],"integer":[23],"programming":[24],"formulation":[25],"for":[26,34],"problem.":[28],"Then":[29],"we":[30],"present":[31],"polyhedral":[32],"results":[33],"corresponding":[36],"polytope":[37],"report":[39],"on":[40],"computational":[41],"results.":[42]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
