{"id":"https://openalex.org/W1985462729","doi":"https://doi.org/10.1016/s0166-218x(03)00444-x","title":"On approximability of linear ordering and related NP-optimization problems on graphs","display_name":"On approximability of linear ordering and related NP-optimization problems on graphs","publication_year":2003,"publication_date":"2003-09-16","ids":{"openalex":"https://openalex.org/W1985462729","doi":"https://doi.org/10.1016/s0166-218x(03)00444-x","mag":"1985462729"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(03)00444-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(03)00444-x","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5101610160","display_name":"Sounaka Mishra","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sounaka Mishra","raw_affiliation_strings":["Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India","Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata - 700 108, INDIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata - 700 108, INDIA","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038105303","display_name":"Kripasindhu Sikdar","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kripasindhu Sikdar","raw_affiliation_strings":["Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India","Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata - 700 108, INDIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata - 700 108, INDIA","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038105303","https://openalex.org/A5101610160"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.72,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.69704833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"136","issue":"2-3","first_page":"249","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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/T12288","display_name":"Optimization and Search Problems","score":0.9886000156402588,"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":0.8302923440933228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8133705854415894},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.5762818455696106},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5329832434654236},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.49272945523262024},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.48334023356437683},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4437715709209442},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.42182090878486633},{"id":"https://openalex.org/keywords/apx","display_name":"APX","score":0.41724342107772827},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.41634491086006165},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3976140022277832},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3651919960975647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18055054545402527},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10579264163970947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06765565276145935}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8302923440933228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8133705854415894},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.5762818455696106},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5329832434654236},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49272945523262024},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.48334023356437683},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4437715709209442},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.42182090878486633},{"id":"https://openalex.org/C130698151","wikidata":"https://www.wikidata.org/wiki/Q4653447","display_name":"APX","level":4,"score":0.41724342107772827},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.41634491086006165},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3976140022277832},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3651919960975647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18055054545402527},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10579264163970947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06765565276145935},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C181199279","wikidata":"https://www.wikidata.org/wiki/Q8047","display_name":"Enzyme","level":2,"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/C162008176","wikidata":"https://www.wikidata.org/wiki/Q419305","display_name":"Peroxidase","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0166-218x(03)00444-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(03)00444-x","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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":41,"referenced_works":["https://openalex.org/W5833057","https://openalex.org/W101814861","https://openalex.org/W189633613","https://openalex.org/W352189590","https://openalex.org/W356477583","https://openalex.org/W1512015032","https://openalex.org/W1516959859","https://openalex.org/W1517065489","https://openalex.org/W1575434249","https://openalex.org/W1592240270","https://openalex.org/W1972345639","https://openalex.org/W1979519377","https://openalex.org/W1990313671","https://openalex.org/W2009990213","https://openalex.org/W2011039300","https://openalex.org/W2013415302","https://openalex.org/W2023793799","https://openalex.org/W2029308832","https://openalex.org/W2036930319","https://openalex.org/W2037893540","https://openalex.org/W2038225707","https://openalex.org/W2040831377","https://openalex.org/W2042649619","https://openalex.org/W2043097561","https://openalex.org/W2056090079","https://openalex.org/W2069762132","https://openalex.org/W2070745908","https://openalex.org/W2089247135","https://openalex.org/W2098361906","https://openalex.org/W2099103397","https://openalex.org/W2107454643","https://openalex.org/W2125278290","https://openalex.org/W2128123518","https://openalex.org/W2137560895","https://openalex.org/W2143996311","https://openalex.org/W2257080673","https://openalex.org/W2750104312","https://openalex.org/W2799004609","https://openalex.org/W3022694456","https://openalex.org/W6674548932","https://openalex.org/W6776658741"],"related_works":["https://openalex.org/W2952452737","https://openalex.org/W4300637737","https://openalex.org/W2593080689","https://openalex.org/W2141353198","https://openalex.org/W1991979416","https://openalex.org/W2952143488","https://openalex.org/W2254726702","https://openalex.org/W2395976569","https://openalex.org/W2117839333","https://openalex.org/W276709744"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}