{"id":"https://openalex.org/W2901398359","doi":"https://doi.org/10.1007/978-3-030-04651-4_8","title":"Relaxation and Matrix Randomized Rounding for the Maximum Spectral Subgraph Problem","display_name":"Relaxation and Matrix Randomized Rounding for the Maximum Spectral Subgraph Problem","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2901398359","doi":"https://doi.org/10.1007/978-3-030-04651-4_8","mag":"2901398359"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-04651-4_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-04651-4_8","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/A5002493273","display_name":"Cristina Bazgan","orcid":"https://orcid.org/0000-0002-5460-6222"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Cristina Bazgan","raw_affiliation_strings":["Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, CNRS, LAMSADE, 75016, Paris, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, CNRS, LAMSADE, 75016, Paris, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I2746051580","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061314892","display_name":"Paul Beaujean","orcid":"https://orcid.org/0000-0002-4707-8388"},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Beaujean","raw_affiliation_strings":["Orange Labs, Ch\u00e2tillon, France","Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, CNRS, LAMSADE, 75016, Paris, France"],"affiliations":[{"raw_affiliation_string":"Orange Labs, Ch\u00e2tillon, France","institution_ids":["https://openalex.org/I19370010"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine, Universit\u00e9 PSL, CNRS, LAMSADE, 75016, Paris, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I2746051580","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000879568","display_name":"\u00c9ric Gourdin","orcid":null},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Gourdin","raw_affiliation_strings":["Orange Labs, Ch\u00e2tillon, France"],"affiliations":[{"raw_affiliation_string":"Orange Labs, Ch\u00e2tillon, France","institution_ids":["https://openalex.org/I19370010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002493273"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I56435720"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5424,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68435449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"108","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9944000244140625,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9926000237464905,"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/spectral-radius","display_name":"Spectral radius","score":0.7548156380653381},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.5846213698387146},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5673938393592834},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.552104651927948},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5494970679283142},{"id":"https://openalex.org/keywords/randomized-rounding","display_name":"Randomized rounding","score":0.49734261631965637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4771553874015808},{"id":"https://openalex.org/keywords/subgraph-isomorphism-problem","display_name":"Subgraph isomorphism problem","score":0.4573570489883423},{"id":"https://openalex.org/keywords/induced-subgraph-isomorphism-problem","display_name":"Induced subgraph isomorphism problem","score":0.4374040961265564},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.436504065990448},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42671093344688416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41888678073883057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36491790413856506},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30918216705322266},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.23829200863838196},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.21851643919944763},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10015487670898438}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7548156380653381},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.5846213698387146},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5673938393592834},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.552104651927948},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5494970679283142},{"id":"https://openalex.org/C32029473","wikidata":"https://www.wikidata.org/wiki/Q7292010","display_name":"Randomized rounding","level":3,"score":0.49734261631965637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4771553874015808},{"id":"https://openalex.org/C131992880","wikidata":"https://www.wikidata.org/wiki/Q2528185","display_name":"Subgraph isomorphism problem","level":3,"score":0.4573570489883423},{"id":"https://openalex.org/C191241153","wikidata":"https://www.wikidata.org/wiki/Q6027240","display_name":"Induced subgraph isomorphism problem","level":5,"score":0.4374040961265564},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.436504065990448},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42671093344688416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41888678073883057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36491790413856506},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30918216705322266},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.23829200863838196},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.21851643919944763},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10015487670898438},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-04651-4_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-04651-4_8","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"},{"id":"pmh:oai:HAL:hal-02408634v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02408634","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"12th International Conference on Combinatorial Optimization and Applications (COCOA 2018), Dec 2018, Atlanta, GA, United States. pp.108-122, ⟨10.1007/978-3-030-04651-4_8⟩","raw_type":"Conference papers"},{"id":"pmh:oai:basepub.dauphine.fr:123456789/20309","is_oa":false,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/20309","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication / Conf\u00e9rence"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W141711295","https://openalex.org/W1501825524","https://openalex.org/W1536930209","https://openalex.org/W1583113493","https://openalex.org/W1595344052","https://openalex.org/W1914027636","https://openalex.org/W1938444229","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1977726526","https://openalex.org/W1985123706","https://openalex.org/W1997638639","https://openalex.org/W2014255080","https://openalex.org/W2022191808","https://openalex.org/W2032591599","https://openalex.org/W2080397156","https://openalex.org/W2090718545","https://openalex.org/W2091075671","https://openalex.org/W2101922712","https://openalex.org/W2110871651","https://openalex.org/W2112494680","https://openalex.org/W2116673134","https://openalex.org/W2118820208","https://openalex.org/W2162818071","https://openalex.org/W2247615631","https://openalex.org/W2536710978","https://openalex.org/W2914771567","https://openalex.org/W2962681781","https://openalex.org/W2964089577","https://openalex.org/W4230965787","https://openalex.org/W4255333822"],"related_works":["https://openalex.org/W2532922352","https://openalex.org/W231720905","https://openalex.org/W2604893261","https://openalex.org/W2915540008","https://openalex.org/W1482551403","https://openalex.org/W2361654510","https://openalex.org/W2128390795","https://openalex.org/W2954463587","https://openalex.org/W2604114816","https://openalex.org/W2393701947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}