{"id":"https://openalex.org/W2991115455","doi":"https://doi.org/10.1137/1.9781611976465.162","title":"Minimum-cost integer circulations in given homology classes","display_name":"Minimum-cost integer circulations in given homology classes","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W2991115455","doi":"https://doi.org/10.1137/1.9781611976465.162","mag":"2991115455"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611976465.162","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611976465.162","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611976465.162","source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611976465.162","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027833967","display_name":"Sarah Morell","orcid":"https://orcid.org/0000-0002-6119-7885"},"institutions":[{"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":true,"raw_author_name":"Sarah Morell","raw_affiliation_strings":["Technical University of Berlin"],"affiliations":[{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005253998","display_name":"Ina Seidel","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ina Seidel","raw_affiliation_strings":["Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023809656","display_name":"Stefan Weltge","orcid":"https://orcid.org/0000-0002-0102-8326"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Weltge","raw_affiliation_strings":["Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027833967"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00869565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2725","last_page":"2739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9973999857902527,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9969000220298767,"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/combinatorics","display_name":"Combinatorics","score":0.6700202822685242},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6216481328010559},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.5454580783843994},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5282774567604065},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5107712745666504},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4935523271560669},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4631898105144501},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4521593451499939},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.4317297339439392},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3911992311477661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17879006266593933},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16497159004211426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09833937883377075}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6700202822685242},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6216481328010559},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.5454580783843994},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5282774567604065},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5107712745666504},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4935523271560669},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4631898105144501},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4521593451499939},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.4317297339439392},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3911992311477661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17879006266593933},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16497159004211426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09833937883377075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/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":4,"locations":[{"id":"doi:10.1137/1.9781611976465.162","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611976465.162","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611976465.162","source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1911.10912","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.10912","pdf_url":"https://arxiv.org/pdf/1911.10912","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2991115455","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1911.10912.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1911.10912","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.10912","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"article"}],"best_oa_location":{"id":"doi:10.1137/1.9781611976465.162","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611976465.162","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611976465.162","source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2991115455.pdf","grobid_xml":"https://content.openalex.org/works/W2991115455.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W2011039300","https://openalex.org/W2029958010","https://openalex.org/W2055218847","https://openalex.org/W2060075372","https://openalex.org/W2090142779","https://openalex.org/W2103658959","https://openalex.org/W2147510331","https://openalex.org/W2320323222","https://openalex.org/W2985292442","https://openalex.org/W2998522986","https://openalex.org/W3040586665","https://openalex.org/W3155752882"],"related_works":["https://openalex.org/W3113912925","https://openalex.org/W3023244669","https://openalex.org/W3005326639","https://openalex.org/W265976343","https://openalex.org/W2096009084","https://openalex.org/W2773049524","https://openalex.org/W2043128660","https://openalex.org/W2952946010","https://openalex.org/W1540408143","https://openalex.org/W2134291008","https://openalex.org/W2030242813","https://openalex.org/W2115718900","https://openalex.org/W2105277260","https://openalex.org/W2015084469","https://openalex.org/W2563037975","https://openalex.org/W2082139992","https://openalex.org/W3026619919","https://openalex.org/W3127315540","https://openalex.org/W3107634673","https://openalex.org/W3106367272"],"abstract_inverted_index":{"Let":[0],"$D$":[1,36],"be":[2,119,176],"a":[3,9,30,108,155,170],"directed":[4],"graph":[5],"cellularly":[6],"embedded":[7],"in":[8,22,35,54,70],"surface":[10,73],"together":[11],"with":[12,64],"non-negative":[13,32],"cost":[14],"on":[15,57],"its":[16],"arcs.":[17],"Given":[18],"any":[19],"integer":[20,33,172],"circulation":[21,34],"$D$,":[23],"we":[24,153],"study":[25],"the":[26,41,44,58,72,101,122,130,141,151,160,167],"problem":[27,52,61,131,168],"of":[28,50,91,104,124,147,157],"finding":[29],"minimum-cost":[31],"that":[37,100,129,162],"is":[38,74,132],"homologous":[39],"over":[40],"integers":[42],"to":[43,118,165],"given":[45],"circulation.":[46],"A":[47],"special":[48,171],"case":[49,123],"this":[51,92],"arises":[53],"recent":[55],"work":[56],"stable":[59],"set":[60],"for":[62,88,135,145],"graphs":[63],"bounded":[65],"odd":[66],"cycle":[67],"packing":[68],"number,":[69],"which":[71,174],"non-orientable":[75,125,137],"(Conforti":[76],"et":[77],"al.,":[78],"SODA'20).":[79],"For":[80,150],"orientable":[81],"surfaces,":[82,138],"polynomial-time":[83,143],"algorithms":[84],"have":[85],"been":[86],"obtained":[87],"different":[89],"variants":[90],"problem.":[93],"We":[94,127],"complement":[95],"these":[96],"results":[97,181],"by":[98],"showing":[99],"convex":[102],"hull":[103],"feasible":[105],"solutions":[106],"has":[107],"very":[109],"simple":[110],"polyhedral":[111],"description.":[112],"In":[113],"contrast,":[114],"only":[115],"little":[116],"seems":[117],"known":[120],"about":[121],"surfaces.":[126],"show":[128],"strongly":[133],"NP-hard":[134],"general":[136],"and":[139,182],"give":[140],"first":[142],"algorithm":[144],"surfaces":[146],"fixed":[148],"genus.":[149],"latter,":[152],"provide":[154],"characterization":[156],"homology":[158],"(over":[159],"integers)":[161],"allows":[163],"us":[164],"recast":[166],"as":[169],"program,":[173],"can":[175],"efficiently":[177],"solved":[178],"using":[179],"proximity":[180],"dynamic":[183],"programming.":[184]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}