{"id":"https://openalex.org/W4389482235","doi":"https://doi.org/10.1007/978-3-031-49190-0_7","title":"Hardness and\u00a0Approximation for\u00a0the\u00a0Star $$\\beta $$-Hub Routing Cost Problem in\u00a0$$\\varDelta _\\beta $$-Metric Graphs","display_name":"Hardness and\u00a0Approximation for\u00a0the\u00a0Star $$\\beta $$-Hub Routing Cost Problem in\u00a0$$\\varDelta _\\beta $$-Metric Graphs","publication_year":2023,"publication_date":"2023-12-08","ids":{"openalex":"https://openalex.org/W4389482235","doi":"https://doi.org/10.1007/978-3-031-49190-0_7"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-49190-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-49190-0_7","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/A5102589617","display_name":"Meng-Shiou Tsai","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Meng-Shiou Tsai","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103047340","display_name":"Sun\u2010Yuan Hsieh","orcid":"https://orcid.org/0000-0003-4746-3179"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Sun-Yuan Hsieh","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007511094","display_name":"Ling-Ju Hung","orcid":"https://orcid.org/0000-0001-5659-5507"},"institutions":[{"id":"https://openalex.org/I43566213","display_name":"National Taipei University of Business","ror":"https://ror.org/029hrv109","country_code":"TW","type":"education","lineage":["https://openalex.org/I43566213"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ling-Ju Hung","raw_affiliation_strings":["Department of Creative Technologies and Product Design, National Taipei University of Business, Taoyuan City, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Creative Technologies and Product Design, National Taipei University of Business, Taoyuan City, Taiwan","institution_ids":["https://openalex.org/I43566213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007511094"],"corresponding_institution_ids":["https://openalex.org/I43566213"],"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":0.53668763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12546","display_name":"Smart Parking Systems Research","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.6786092519760132},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6672461032867432},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.6600549221038818},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5901122689247131},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.49250659346580505},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.45168337225914},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.44377627968788147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4384500980377197},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4244266748428345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3840969204902649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3008490800857544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2894715368747711}],"concepts":[{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.6786092519760132},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6672461032867432},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.6600549221038818},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5901122689247131},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.49250659346580505},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.45168337225914},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.44377627968788147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4384500980377197},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4244266748428345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3840969204902649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3008490800857544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2894715368747711},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-49190-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-49190-0_7","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":25,"referenced_works":["https://openalex.org/W1968036138","https://openalex.org/W1968998791","https://openalex.org/W1969707757","https://openalex.org/W1974918927","https://openalex.org/W2025698306","https://openalex.org/W2034157961","https://openalex.org/W2041867487","https://openalex.org/W2075942607","https://openalex.org/W2110513532","https://openalex.org/W2128361327","https://openalex.org/W2759381347","https://openalex.org/W2764084197","https://openalex.org/W2889896490","https://openalex.org/W2906169266","https://openalex.org/W2920966400","https://openalex.org/W2943376565","https://openalex.org/W2945281338","https://openalex.org/W2946735198","https://openalex.org/W3184618508","https://openalex.org/W4210561148","https://openalex.org/W4214508416","https://openalex.org/W4223950885","https://openalex.org/W4225369988","https://openalex.org/W4323923519","https://openalex.org/W4363650182"],"related_works":["https://openalex.org/W2367195720","https://openalex.org/W1968497507","https://openalex.org/W1998126097","https://openalex.org/W2362006006","https://openalex.org/W1980288485","https://openalex.org/W2009976792","https://openalex.org/W2021808862","https://openalex.org/W3184075718","https://openalex.org/W2995411114","https://openalex.org/W2004321562"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
