{"id":"https://openalex.org/W1986291656","doi":"https://doi.org/10.1007/s00493-004-0031-x","title":"A Lower Bound On The Integrality Gap For Minimum Multicut In Directed Networks","display_name":"A Lower Bound On The Integrality Gap For Minimum Multicut In Directed Networks","publication_year":2004,"publication_date":"2004-07-01","ids":{"openalex":"https://openalex.org/W1986291656","doi":"https://doi.org/10.1007/s00493-004-0031-x","mag":"1986291656"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-004-0031-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0031-x","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMBINATORICA","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/A5079845352","display_name":"Michael J. Saks","orcid":"https://orcid.org/0000-0002-5824-6711"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Saks*","raw_affiliation_strings":["Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA","Rutgers University, Department of Mathematics, 110 Frelinghuysen Road, 08854-8019, Piscataway, NJ, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, Department of Mathematics, 110 Frelinghuysen Road, 08854-8019, Piscataway, NJ, USA#TAB#","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004360801","display_name":"Alex Samorodnitsky","orcid":"https://orcid.org/0000-0001-8643-7948"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alex Samorodnitsky\u2020","raw_affiliation_strings":["School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, 93708, Israel","The Hebrew University of Jerusalem, School of Computer Science and Engineering, 110 Frelinghuysen Road, 93708, Jerusalem, NJ, Israel"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, 93708, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"The Hebrew University of Jerusalem, School of Computer Science and Engineering, 110 Frelinghuysen Road, 93708, Jerusalem, NJ, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051756164","display_name":"Leonid Zosin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Zosin\u2020","raw_affiliation_strings":["ITG Inc., 44 Farnsworth Str., Boston, MA, 02210, USA","ITG Inc., School of Computer Science and Engineering, 44 Farnsworth Str., 02210, Boston, MA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"ITG Inc., 44 Farnsworth Str., Boston, MA, 02210, USA","institution_ids":[]},{"raw_affiliation_string":"ITG Inc., School of Computer Science and Engineering, 44 Farnsworth Str., 02210, Boston, MA, USA#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079845352"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":3.6994,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92660039,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"3","first_page":"525","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9947999715805054,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8134410977363586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7709929347038269},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.6525709629058838},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5938779711723328},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4722537398338318},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41939690709114075},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4127349257469177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34807318449020386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08263969421386719},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05391460657119751}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8134410977363586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7709929347038269},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.6525709629058838},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5938779711723328},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4722537398338318},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41939690709114075},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4127349257469177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34807318449020386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08263969421386719},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05391460657119751},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-004-0031-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0031-x","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMBINATORICA","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W189107550","https://openalex.org/W1524804355","https://openalex.org/W1985284097","https://openalex.org/W2002531683","https://openalex.org/W2017713020","https://openalex.org/W2062157728","https://openalex.org/W2113227678","https://openalex.org/W2117319425","https://openalex.org/W2125278290","https://openalex.org/W2338905098"],"related_works":["https://openalex.org/W2043128958","https://openalex.org/W1994341438","https://openalex.org/W2075073335","https://openalex.org/W3196191381","https://openalex.org/W2346528079","https://openalex.org/W2023059211","https://openalex.org/W2370572809","https://openalex.org/W2798936174","https://openalex.org/W2764127424","https://openalex.org/W4322810890"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}