{"id":"https://openalex.org/W2077688031","doi":"https://doi.org/10.1007/s12532-012-0040-5","title":"LP and SDP branch-and-cut algorithms for the minimum graph bisection problem: a computational comparison","display_name":"LP and SDP branch-and-cut algorithms for the minimum graph bisection problem: a computational comparison","publication_year":2012,"publication_date":"2012-04-14","ids":{"openalex":"https://openalex.org/W2077688031","doi":"https://doi.org/10.1007/s12532-012-0040-5","mag":"2077688031"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-012-0040-5","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2957","issn":["1867-2957","1867-2949"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5083641327","display_name":"Michael Armbruster","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Armbruster","raw_affiliation_strings":["Chemnitz University of Technology"],"affiliations":[{"raw_affiliation_string":"Chemnitz University of Technology","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008345521","display_name":"Marzena F\u00fcgenschuh","orcid":null},"institutions":[{"id":"https://openalex.org/I129643931","display_name":"Berliner Hochschule f\u00fcr Technik","ror":"https://ror.org/00w7whj55","country_code":"DE","type":"education","lineage":["https://openalex.org/I129643931"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marzena F\u00fcgenschuh","raw_affiliation_strings":[" Beuth University of Applied Sciences"],"affiliations":[{"raw_affiliation_string":" Beuth University of Applied Sciences","institution_ids":["https://openalex.org/I129643931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058749822","display_name":"Christoph Helmberg","orcid":"https://orcid.org/0000-0002-5288-8000"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Helmberg","raw_affiliation_strings":["Chemnitz University of Technology"],"affiliations":[{"raw_affiliation_string":"Chemnitz University of Technology","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006197528","display_name":"Alexander Mart\u00edn","orcid":"https://orcid.org/0000-0001-7602-3653"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Martin","raw_affiliation_strings":["University of Erlangen-Nuremberg"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg","institution_ids":["https://openalex.org/I181369854"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":3090,"provenance":"doaj"},"apc_paid":null,"fwci":2.151,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":22,"citation_normalized_percentile":{"value":0.808185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"4","issue":"3","first_page":"275","last_page":"306"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998,"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":0.9998,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9983,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite Programming","score":0.7390665},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.65742505},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.58883095},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.5497912},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.4399205},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.4316792}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7390665},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.65742505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6323997},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.600973},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.58883095},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.5497912},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.48180312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47944012},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.47751537},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.4399205},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4369817},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.4316792},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3329828},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2951081},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.27358007},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.25174958},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.12507254},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-012-0040-5","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2957","issn":["1867-2957","1867-2949"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":36,"referenced_works":["https://openalex.org/W1529261801","https://openalex.org/W1553621070","https://openalex.org/W1601503375","https://openalex.org/W193513960","https://openalex.org/W1963963496","https://openalex.org/W1970801029","https://openalex.org/W1985123706","https://openalex.org/W1989947834","https://openalex.org/W1991247020","https://openalex.org/W2005064625","https://openalex.org/W2012605254","https://openalex.org/W2019661051","https://openalex.org/W2021008323","https://openalex.org/W2023425373","https://openalex.org/W2033498477","https://openalex.org/W2046355282","https://openalex.org/W2051306216","https://openalex.org/W2060514920","https://openalex.org/W2069107464","https://openalex.org/W2069313750","https://openalex.org/W2071011182","https://openalex.org/W2078289947","https://openalex.org/W2078979423","https://openalex.org/W2084236013","https://openalex.org/W2085595139","https://openalex.org/W2090129250","https://openalex.org/W2090236751","https://openalex.org/W2111087801","https://openalex.org/W2149454052","https://openalex.org/W2158598102","https://openalex.org/W2158907148","https://openalex.org/W2222122796","https://openalex.org/W2485377127","https://openalex.org/W3104001151","https://openalex.org/W64776898","https://openalex.org/W966479573"],"related_works":["https://openalex.org/W3000089047","https://openalex.org/W2920857515","https://openalex.org/W2807981612","https://openalex.org/W2513180016","https://openalex.org/W2379672298","https://openalex.org/W2366269287","https://openalex.org/W2362705850","https://openalex.org/W2353517195","https://openalex.org/W2085647652","https://openalex.org/W1531708257"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2077688031","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5}],"updated_date":"2025-01-21T23:40:33.638445","created_date":"2016-06-24"}