{"id":"https://openalex.org/W2980163628","doi":"https://doi.org/10.1137/19m1291820","title":"Minimum Cuts in Surface Graphs","display_name":"Minimum Cuts in Surface Graphs","publication_year":2023,"publication_date":"2023-02-13","ids":{"openalex":"https://openalex.org/W2980163628","doi":"https://doi.org/10.1137/19m1291820","mag":"2980163628"},"language":"en","primary_location":{"id":"doi:10.1137/19m1291820","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/19m1291820","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":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erin W. Chambers","raw_affiliation_strings":["Department of Computer Science, Saint Louis University, St Louis, MO 63103, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Saint Louis University, St Louis, MO 63103, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Erickson","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana-Champaign, IL 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana-Champaign, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013518909","display_name":"Kyle Fox","orcid":"https://orcid.org/0000-0002-2446-8594"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyle Fox","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Richardson, TX 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024487390","display_name":"Amir Nayyeri","orcid":null},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amir Nayyeri","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Oregon State University, Corvallis, OR 97331, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Oregon State University, Corvallis, OR 97331, USA","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011219239"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00161125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"1","first_page":"156","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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":0.9973000288009644,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9966999888420105,"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":0.6417754292488098},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6155338883399963},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5192453861236572},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.462338387966156},{"id":"https://openalex.org/keywords/minimum-cut","display_name":"Minimum cut","score":0.4505487084388733},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4223666787147522},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4156433343887329},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3966110050678253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38156676292419434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34203094244003296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6417754292488098},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6155338883399963},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5192453861236572},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.462338387966156},{"id":"https://openalex.org/C185690422","wikidata":"https://www.wikidata.org/wiki/Q6865438","display_name":"Minimum cut","level":2,"score":0.4505487084388733},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4223666787147522},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4156433343887329},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3966110050678253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38156676292419434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34203094244003296},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1291820","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/19m1291820","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1531892107","display_name":null,"funder_award_id":"CCF-0915519","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1545782145","display_name":null,"funder_award_id":"CCF-1408763","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2348538006","display_name":null,"funder_award_id":"DBI-1759807","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3566906023","display_name":null,"funder_award_id":"CCF-1065106","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3677677206","display_name":null,"funder_award_id":"DMS-0528086","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4614525016","display_name":null,"funder_award_id":"CCF-1054779","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5224064800","display_name":null,"funder_award_id":"CCF-2106672","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6073252887","display_name":null,"funder_award_id":"CCF-1907612","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6562112540","display_name":null,"funder_award_id":"CCF-1614562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"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":122,"referenced_works":["https://openalex.org/W58570057","https://openalex.org/W594463866","https://openalex.org/W609188758","https://openalex.org/W1512631008","https://openalex.org/W1522210445","https://openalex.org/W1558273801","https://openalex.org/W1572973141","https://openalex.org/W1585244820","https://openalex.org/W1591127925","https://openalex.org/W1607394607","https://openalex.org/W1715975119","https://openalex.org/W1881522137","https://openalex.org/W1888906176","https://openalex.org/W1964510837","https://openalex.org/W1965690159","https://openalex.org/W1967586541","https://openalex.org/W1969523663","https://openalex.org/W1971258090","https://openalex.org/W1971833343","https://openalex.org/W1974876810","https://openalex.org/W1980410492","https://openalex.org/W1980627447","https://openalex.org/W1981234161","https://openalex.org/W1987197912","https://openalex.org/W1988593903","https://openalex.org/W1991566340","https://openalex.org/W1994602871","https://openalex.org/W1995473411","https://openalex.org/W1995901838","https://openalex.org/W2002531683","https://openalex.org/W2005356779","https://openalex.org/W2006152944","https://openalex.org/W2006714486","https://openalex.org/W2006729640","https://openalex.org/W2008597108","https://openalex.org/W2010294998","https://openalex.org/W2016588822","https://openalex.org/W2020422308","https://openalex.org/W2024420212","https://openalex.org/W2026368027","https://openalex.org/W2029958010","https://openalex.org/W2030509174","https://openalex.org/W2035144082","https://openalex.org/W2035228443","https://openalex.org/W2039086323","https://openalex.org/W2039305125","https://openalex.org/W2046021036","https://openalex.org/W2047861451","https://openalex.org/W2050289388","https://openalex.org/W2053493846","https://openalex.org/W2057266558","https://openalex.org/W2057463094","https://openalex.org/W2060075372","https://openalex.org/W2063624401","https://openalex.org/W2064175146","https://openalex.org/W2064493067","https://openalex.org/W2066108505","https://openalex.org/W2067431706","https://openalex.org/W2068595367","https://openalex.org/W2070505654","https://openalex.org/W2077970810","https://openalex.org/W2078443814","https://openalex.org/W2081174961","https://openalex.org/W2083049364","https://openalex.org/W2084631168","https://openalex.org/W2084990336","https://openalex.org/W2085124875","https://openalex.org/W2090359754","https://openalex.org/W2092904196","https://openalex.org/W2093766264","https://openalex.org/W2099463627","https://openalex.org/W2103099082","https://openalex.org/W2104835758","https://openalex.org/W2106352538","https://openalex.org/W2109920117","https://openalex.org/W2113501450","https://openalex.org/W2113679823","https://openalex.org/W2120424341","https://openalex.org/W2121204510","https://openalex.org/W2126169066","https://openalex.org/W2135957449","https://openalex.org/W2138560648","https://openalex.org/W2143810902","https://openalex.org/W2147508044","https://openalex.org/W2147510331","https://openalex.org/W2147937407","https://openalex.org/W2159347714","https://openalex.org/W2166937960","https://openalex.org/W2199785256","https://openalex.org/W2236098968","https://openalex.org/W2293041988","https://openalex.org/W2309657040","https://openalex.org/W2316343226","https://openalex.org/W2326954772","https://openalex.org/W2404615429","https://openalex.org/W2465715994","https://openalex.org/W2477077846","https://openalex.org/W2569104968","https://openalex.org/W2569270235","https://openalex.org/W2590900540","https://openalex.org/W2741786970","https://openalex.org/W2762935521","https://openalex.org/W2763868895","https://openalex.org/W2768149714","https://openalex.org/W2962831944","https://openalex.org/W2962968573","https://openalex.org/W2963119423","https://openalex.org/W2963719527","https://openalex.org/W2963816213","https://openalex.org/W2963821675","https://openalex.org/W2963972775","https://openalex.org/W2964012127","https://openalex.org/W2964155548","https://openalex.org/W2988480584","https://openalex.org/W3040586665","https://openalex.org/W3104625577","https://openalex.org/W3124850851","https://openalex.org/W4213060235","https://openalex.org/W4213060883","https://openalex.org/W4230551286","https://openalex.org/W4243580053","https://openalex.org/W4319589071"],"related_works":["https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W2129497110","https://openalex.org/W1572441411","https://openalex.org/W3006156235","https://openalex.org/W1575871512","https://openalex.org/W2236098968","https://openalex.org/W1549414783","https://openalex.org/W3208371434","https://openalex.org/W4302621808"],"abstract_inverted_index":{"We":[0,112],"describe":[1],"algorithms":[2,32,49,64,88,107],"to":[3,71,121,134],"efficiently":[4],"compute":[5],"minimum":[6,10,58,66],"-cuts":[7],"and":[8,84,103,110],"global":[9],"cuts":[11,59,67],"of":[12,28,74],"undirected":[13,19],"surface-embedded":[14],"graphs.":[15,62],"Given":[16],"an":[17,25],"edge-weighted":[18],"graph":[20],"with":[21,101],"vertices":[22],"embedded":[23,97],"on":[24,69,98,140],"orientable":[26],"surface":[27,100],"genus":[29,102],",":[30],"our":[31,47],"can":[33],"solve":[34],"either":[35],"problem":[36,73,92],"in":[37,60,79,109],"or":[38],"time,":[39],"whichever":[40],"is":[41,44,96,126,131],"better.":[42],"When":[43],"a":[45,76,80,99,117,122],"constant,":[46],"time":[48],"match":[50],"the":[51,72,137],"best":[52],"running":[53],"times":[54],"known":[55],"for":[56,65,89,141],"computing":[57],"planar":[61],"Our":[63],"rely":[68],"reductions":[70],"finding":[75,116],"minimum-weight":[77,118],"subgraph":[78,119],"given":[81],"-homology":[82],"class,":[83],"we":[85],"give":[86],"efficient":[87],"this":[90,142],"latter":[91,143],"as":[93],"well.":[94],"If":[95],"boundary":[104],"components,":[105],"these":[106],"run":[108],"time.":[111],"also":[113],"prove":[114],"that":[115,129],"homologous":[120],"single":[123],"input":[124],"cycle":[125],"NP-hard,":[127],"showing":[128],"it":[130],"likely":[132],"impossible":[133],"improve":[135],"upon":[136],"exponential":[138],"dependencies":[139],"problem.":[144]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}