{"id":"https://openalex.org/W1593787329","doi":"https://doi.org/10.1007/3-540-56939-1_62","title":"Primal-dual approximation algorithms for integral flow and multicut in trees, with applications to matching and set cover","display_name":"Primal-dual approximation algorithms for integral flow and multicut in trees, with applications to matching and set cover","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1593787329","doi":"https://doi.org/10.1007/3-540-56939-1_62","mag":"1593787329"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-56939-1_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-56939-1_62","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5045952512","display_name":"Naveen Garg","orcid":"https://orcid.org/0000-0001-7923-4464"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Naveen Garg","raw_affiliation_strings":["Department of Computer Science and Engg., Indian Institute of Technology, Delhi","Indian Institute of technology"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engg., Indian Institute of Technology, Delhi","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of technology","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007368382","display_name":"Vijay V. Vazirani","orcid":"https://orcid.org/0000-0002-4106-9077"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]},{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vijay V. Vazirani","raw_affiliation_strings":["Department of Computer Science and Engg., Indian Institute of Technology, Delhi","Indian Institute of technology"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engg., Indian Institute of Technology, Delhi","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of technology","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043084405","display_name":"Mihalis Yannakakis","orcid":"https://orcid.org/0000-0003-2857-1860"},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihalis Yannakakis","raw_affiliation_strings":["AT & T Bell Laboratories, 07974, Murray Hill, NJ","AT & T Bell Laboratories,"],"affiliations":[{"raw_affiliation_string":"AT & T Bell Laboratories, 07974, Murray Hill, NJ","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT & T Bell Laboratories,","institution_ids":["https://openalex.org/I1283103587"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045952512"],"corresponding_institution_ids":["https://openalex.org/I64295750","https://openalex.org/I68891433"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.129,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.93721973,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"64","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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/T11106","display_name":"Data Management and Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/computer-science","display_name":"Computer science","score":0.7117741703987122},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.7085790038108826},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6515644788742065},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.623249888420105},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5509483218193054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.508845329284668},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4828220307826996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24882355332374573},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09009814262390137},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04800233244895935}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7117741703987122},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.7085790038108826},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6515644788742065},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.623249888420105},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5509483218193054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.508845329284668},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4828220307826996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24882355332374573},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09009814262390137},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04800233244895935},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-56939-1_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-56939-1_62","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W37994088","https://openalex.org/W1480903797","https://openalex.org/W1563039933","https://openalex.org/W1572702333","https://openalex.org/W1985672402","https://openalex.org/W2012329067","https://openalex.org/W2018279087","https://openalex.org/W2020687920","https://openalex.org/W2031248452","https://openalex.org/W2038225707","https://openalex.org/W2042899161","https://openalex.org/W2053913299","https://openalex.org/W2059453880","https://openalex.org/W2062157728","https://openalex.org/W2064600658","https://openalex.org/W2069323107","https://openalex.org/W2069702698","https://openalex.org/W2078047960","https://openalex.org/W2079473728","https://openalex.org/W2117319425","https://openalex.org/W2125278290","https://openalex.org/W2143391442","https://openalex.org/W2170668134","https://openalex.org/W2327315803"],"related_works":["https://openalex.org/W4232403550","https://openalex.org/W623607250","https://openalex.org/W4245429118","https://openalex.org/W4205110281","https://openalex.org/W4212927854","https://openalex.org/W4211151614","https://openalex.org/W4244798043","https://openalex.org/W4251969024","https://openalex.org/W4250793136","https://openalex.org/W2921334381"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
