{"id":"https://openalex.org/W2886112286","doi":"https://doi.org/10.1007/978-3-319-98355-4_10","title":"Stability of Reapproximation Algorithms for the $$\\beta $$-Metric Traveling Salesman (Path) Problem","display_name":"Stability of Reapproximation Algorithms for the $$\\beta $$-Metric Traveling Salesman (Path) Problem","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2886112286","doi":"https://doi.org/10.1007/978-3-319-98355-4_10","mag":"2886112286"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-98355-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-98355-4_10","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/A5070497757","display_name":"Annalisa D\u2019Andrea","orcid":null},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Annalisa D\u2019Andrea","raw_affiliation_strings":["Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli Studi dell'Aquila, Via Vetoio, 67100, L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli Studi dell'Aquila, Via Vetoio, 67100, L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023691482","display_name":"Luca Forlizzi","orcid":"https://orcid.org/0000-0002-3923-7668"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Forlizzi","raw_affiliation_strings":["Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli Studi dell'Aquila, Via Vetoio, 67100, L'Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli Studi dell'Aquila, Via Vetoio, 67100, L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087770784","display_name":"Guido Proietti","orcid":"https://orcid.org/0000-0003-1009-5552"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]},{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Guido Proietti","raw_affiliation_strings":["Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","Istituto di Analisi dei Sistemi ed Informatica \u201cAntonio Ruberti\u201d, Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185, Rome, Italy","Istituto di Analisi dei Sistemi ed Informatica \"Antonio Ruberti\", Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell\u2019Informazione e Matematica, Universit\u00e0 degli Studi dell\u2019Aquila, Via Vetoio, 67100, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica \u201cAntonio Ruberti\u201d, Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica \"Antonio Ruberti\", Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087770784"],"corresponding_institution_ids":["https://openalex.org/I26415053","https://openalex.org/I4210162062"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11619847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"156","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.8344154357910156},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.7579249143600464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6767037510871887},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"Triangle inequality","score":0.6762335300445557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5035340189933777},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.4762987196445465},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44284355640411377},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.4380432367324829},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.43601712584495544},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4292331039905548},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.42761075496673584},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36132341623306274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2828029692173004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23647817969322205}],"concepts":[{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.8344154357910156},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.7579249143600464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6767037510871887},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.6762335300445557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5035340189933777},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.4762987196445465},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44284355640411377},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.4380432367324829},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.43601712584495544},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4292331039905548},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.42761075496673584},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36132341623306274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2828029692173004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23647817969322205}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-98355-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-98355-4_10","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":35,"referenced_works":["https://openalex.org/W39612167","https://openalex.org/W1481223916","https://openalex.org/W1485443912","https://openalex.org/W1505235268","https://openalex.org/W1505314250","https://openalex.org/W1508890431","https://openalex.org/W1521552723","https://openalex.org/W1535315516","https://openalex.org/W1546311336","https://openalex.org/W1574578809","https://openalex.org/W1577021820","https://openalex.org/W1590159142","https://openalex.org/W1970492377","https://openalex.org/W1977056448","https://openalex.org/W1977823240","https://openalex.org/W2022179164","https://openalex.org/W2025698306","https://openalex.org/W2042882430","https://openalex.org/W2043097561","https://openalex.org/W2054572608","https://openalex.org/W2057017626","https://openalex.org/W2091368663","https://openalex.org/W2103907104","https://openalex.org/W2153849284","https://openalex.org/W2160111458","https://openalex.org/W2170739645","https://openalex.org/W2170929650","https://openalex.org/W2514261354","https://openalex.org/W2566339654","https://openalex.org/W2745594004","https://openalex.org/W2956015669","https://openalex.org/W3101686738","https://openalex.org/W3102266534","https://openalex.org/W4386116023","https://openalex.org/W6902902722"],"related_works":["https://openalex.org/W4241541331","https://openalex.org/W2016168023","https://openalex.org/W2259723333","https://openalex.org/W2038858023","https://openalex.org/W2121016022","https://openalex.org/W39612167","https://openalex.org/W2059097437","https://openalex.org/W2001032631","https://openalex.org/W4382930395","https://openalex.org/W2886112286"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
