{"id":"https://openalex.org/W2006100795","doi":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","title":"Approximating Steiner trees in graphs with restricted weights","display_name":"Approximating Steiner trees in graphs with restricted weights","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2006100795","doi":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","mag":"2006100795"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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":null,"display_name":"Magn\ufffds M. Halld\ufffdrsson","orcid":null},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Magn\ufffds M. Halld\ufffdrsson","raw_affiliation_strings":["Science Institute, University of Iceland, IS-107 Reykjav\u00edk, Iceland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science Institute, University of Iceland, IS-107 Reykjav\u00edk, Iceland","institution_ids":["https://openalex.org/I165368041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089756558","display_name":"Shuichi Ueno","orcid":"https://orcid.org/0000-0002-2611-962X"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shuichi Ueno","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102012804","display_name":"Hiroshi Nakao","orcid":"https://orcid.org/0000-0002-5136-6067"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Nakao","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002482954","display_name":"Yoji Kajitani","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoji Kajitani","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, Meguro-ku, 152 Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.14144795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"4","first_page":"283","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8247026205062866},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.7600323557853699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6547627449035645},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6043289303779602},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46656978130340576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46339231729507446},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4263320863246918},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.42430368065834045},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20142102241516113},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07652553915977478}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8247026205062866},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.7600323557853699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6547627449035645},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6043289303779602},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46656978130340576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46339231729507446},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4263320863246918},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.42430368065834045},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20142102241516113},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07652553915977478}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<283::aid-net8>3.0.co;2-9","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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":2,"referenced_works":["https://openalex.org/W2063395464","https://openalex.org/W2087598714"],"related_works":["https://openalex.org/W2118320476","https://openalex.org/W2161182859","https://openalex.org/W1503036335","https://openalex.org/W2025658531","https://openalex.org/W4244816249","https://openalex.org/W2115973883","https://openalex.org/W2739242419","https://openalex.org/W1585318792","https://openalex.org/W28092394","https://openalex.org/W777204940"],"abstract_inverted_index":{"We":[0],"analyze":[1],"the":[2,6,11,23,36],"approximation":[3],"ratio":[4],"of":[5,25,53],"average":[7],"distance":[8],"heuristic":[9],"for":[10,22],"Steiner":[12],"tree":[13],"problem":[14],"on":[15],"graphs":[16,27],"and":[17],"prove":[18],"nearly":[19],"tight":[20],"bounds":[21],"cases":[24],"complete":[26],"with":[28],"binary":[29],"weights":[30,34],"{1,":[31],"d}":[32],"or":[33],"in":[35],"interval":[37],"[1,":[38],"d],":[39],"where":[40],"d":[41],"\u2264":[42],"2.":[43],"The":[44],"improvement":[45],"over":[46],"other":[47],"analyzed":[48],"algorithms":[49],"is":[50],"a":[51],"factor":[52],"about":[54],"e":[55],"\u2248":[56],"2.718.":[57],"\u00a9":[58],"1998":[59,68],"John":[60],"Wiley":[61],"&":[62],"Sons,":[63],"Inc.":[64],"Networks":[65],"31:":[66],"283\u2013292,":[67]},"counts_by_year":[],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
