{"id":"https://openalex.org/W2060075372","doi":"https://doi.org/10.1137/090766863","title":"Homology Flows, Cohomology Cuts","display_name":"Homology Flows, Cohomology Cuts","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2060075372","doi":"https://doi.org/10.1137/090766863","mag":"2060075372"},"language":"en","primary_location":{"id":"doi:10.1137/090766863","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090766863","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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/A5011219239","display_name":"Erin Wolf Chambers","orcid":"https://orcid.org/0000-0001-8333-3676"},"institutions":[{"id":"https://openalex.org/I4210121589","display_name":"UCLouvain Saint-Louis Brussels","ror":"https://ror.org/02ygek028","country_code":"BE","type":"education","lineage":["https://openalex.org/I4210121589","https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Erin W. Chambers","raw_affiliation_strings":[", Saint Louis University"],"affiliations":[{"raw_affiliation_string":", Saint Louis University","institution_ids":["https://openalex.org/I4210121589"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeff Erickson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024487390","display_name":"Amir Nayyeri","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121589","display_name":"UCLouvain Saint-Louis Brussels","ror":"https://ror.org/02ygek028","country_code":"BE","type":"education","lineage":["https://openalex.org/I4210121589","https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Amir Nayyeri","raw_affiliation_strings":[", Saint Louis University"],"affiliations":[{"raw_affiliation_string":", Saint Louis University","institution_ids":["https://openalex.org/I4210121589"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011219239"],"corresponding_institution_ids":["https://openalex.org/I4210121589"],"apc_list":null,"apc_paid":null,"fwci":3.4554,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.92692162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"6","first_page":"1605","last_page":"1634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9941999912261963,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9936000108718872,"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/mathematics","display_name":"Mathematics","score":0.7360376119613647},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6851375699043274},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.584962010383606},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.47119995951652527},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42777812480926514},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36826300621032715}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7360376119613647},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6851375699043274},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.584962010383606},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.47119995951652527},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42777812480926514},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36826300621032715},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/090766863","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090766863","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.139.4736","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.4736","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/pdf/surflow.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.156.9119","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.9119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://http.cs.berkeley.edu/~jeffe/pubs/pdf/surflow.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.4824","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.4824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/pdf/surflowx.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.296.30","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.296.30","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/pdf/surflow.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.305.1370","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.305.1370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mathcs.slu.edu/~chambers/papers/surflow.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W46025305","https://openalex.org/W1539402525","https://openalex.org/W1888906176","https://openalex.org/W1965957740","https://openalex.org/W1968647828","https://openalex.org/W1969523663","https://openalex.org/W1974876810","https://openalex.org/W1977733379","https://openalex.org/W1987197912","https://openalex.org/W1994602871","https://openalex.org/W1999497750","https://openalex.org/W2003889804","https://openalex.org/W2006428587","https://openalex.org/W2008597108","https://openalex.org/W2009669213","https://openalex.org/W2012329067","https://openalex.org/W2016871180","https://openalex.org/W2018804864","https://openalex.org/W2022980325","https://openalex.org/W2026261955","https://openalex.org/W2027428596","https://openalex.org/W2029958010","https://openalex.org/W2033040247","https://openalex.org/W2033127275","https://openalex.org/W2034509988","https://openalex.org/W2039086323","https://openalex.org/W2039305125","https://openalex.org/W2045749371","https://openalex.org/W2049413646","https://openalex.org/W2050394746","https://openalex.org/W2054787689","https://openalex.org/W2064175146","https://openalex.org/W2067431706","https://openalex.org/W2068223289","https://openalex.org/W2068595367","https://openalex.org/W2070505654","https://openalex.org/W2073558110","https://openalex.org/W2082687277","https://openalex.org/W2083368929","https://openalex.org/W2088455492","https://openalex.org/W2090359754","https://openalex.org/W2097004206","https://openalex.org/W2098976733","https://openalex.org/W2099463627","https://openalex.org/W2113679823","https://openalex.org/W2120424341","https://openalex.org/W2138560648","https://openalex.org/W2152512929","https://openalex.org/W2156036190","https://openalex.org/W2156760067","https://openalex.org/W2161779238","https://openalex.org/W2199785256","https://openalex.org/W2569270235","https://openalex.org/W2762935521","https://openalex.org/W2768149714","https://openalex.org/W3137940023","https://openalex.org/W4242177601"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W4287664878","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W3006156235"],"abstract_inverted_index":{"We":[0,53],"describe":[1],"the":[2,67,85,127,131,137,144,166],"first":[3],"algorithm":[4,42,58,78,164],"to":[5,39,125],"compute":[6],"maximum":[7,45,91],"flows":[8,92,141],"in":[9,12,47,93,143,169],"surface-embedded":[10,94],"graphs":[11,95,104],"near-linear":[13],"time.":[14,52],"Specifically,":[15],"given":[16,171],"a":[17,21,44,56,117,152,170],"graph":[18],"embedded":[19],"on":[20],"surface":[22],"of":[23,70,105,119,130,155,162],"genus":[24],"$g$,":[25],"with":[26],"two":[27,140],"specified":[28],"vertices":[29],"$s$":[30],"and":[31,33],"$t$":[32],"integer":[34],"edge":[35],"capacities":[36],"that":[37,59],"sum":[38,154],"$C$,":[40],"our":[41,109,163],"computes":[43,165],"$(s,t)$-flow":[46],"$O(g^8":[48],"n\\log^2":[49,50],"C)$":[51],"also":[54],"present":[55],"combinatorial":[57],"takes":[60],"$g^{O(g)}":[61],"n^{3/2}$":[62],"arithmetic":[63],"operations.":[64],"Except":[65],"for":[66,73,82,90,99],"special":[68],"case":[69],"planar":[71],"graphs,":[72],"which":[74],"an":[75],"$O(n\\log":[76],"n)$-time":[77],"has":[79],"been":[80],"known":[81],"20":[83],"years,":[84],"best":[86],"previous":[87],"time":[88,113],"bounds":[89,114],"follow":[96],"from":[97],"algorithms":[98,110],"general":[100],"sparse":[101],"graphs.":[102],"For":[103],"any":[106],"fixed":[107],"genus,":[108],"improve":[111],"these":[112],"by":[115],"roughly":[116],"factor":[118],"$\\sqrt{n}$.":[120],"Our":[121],"key":[122],"insight":[123],"is":[124,151],"optimize":[126],"homology":[128,146,175],"class":[129,147],"flow,":[132],"rather":[133],"than":[134],"directly":[135],"optimizing":[136],"flow":[138],"itself;":[139],"are":[142],"same":[145],"if":[148],"their":[149],"difference":[150],"weighted":[153],"directed":[156],"facial":[157],"cycles.":[158],"A":[159],"dual":[160],"formulation":[161],"minimum-cost":[167],"circulation":[168],"(real":[172],"or":[173],"integer)":[174],"class.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
