{"id":"https://openalex.org/W2074330433","doi":"https://doi.org/10.1002/net.3230220604","title":"Degree\u2010five Steiner points cannot reduce network costs for planar sets","display_name":"Degree\u2010five Steiner points cannot reduce network costs for planar sets","publication_year":1992,"publication_date":"1992-10-01","ids":{"openalex":"https://openalex.org/W2074330433","doi":"https://doi.org/10.1002/net.3230220604","mag":"2074330433"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230220604","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230220604","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":"https://openalex.org/A5080940584","display_name":"J Rubinstein","orcid":"https://orcid.org/0000-0002-5712-0113"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"J. H. Rubinstein","raw_affiliation_strings":["Mathematics Department Melbourne University Parkville, Victoria 3052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department Melbourne University Parkville, Victoria 3052, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065822881","display_name":"D. A. Thomas","orcid":"https://orcid.org/0000-0002-8141-3362"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"D. A. Thomas","raw_affiliation_strings":["Mathematics Department Melbourne University Parkville, Victoria 3052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department Melbourne University Parkville, Victoria 3052, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054154444","display_name":"Jia Weng","orcid":"https://orcid.org/0000-0002-6976-2375"},"institutions":[{"id":"https://openalex.org/I169541294","display_name":"Flinders University","ror":"https://ror.org/01kpzv902","country_code":"AU","type":"education","lineage":["https://openalex.org/I169541294"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. F. Weng","raw_affiliation_strings":["Mathematics Department Flinders University Adelaide South Australia, 5042, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department Flinders University Adelaide South Australia, 5042, Australia","institution_ids":["https://openalex.org/I169541294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080940584"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.5295,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.67106552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"6","first_page":"531","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.965399980545044,"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/degree","display_name":"Degree (music)","score":0.7266154885292053},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5808165073394775},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5728903412818909},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.5589931011199951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4926608204841614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44765743613243103},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3508913218975067},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07183924317359924}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7266154885292053},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5808165073394775},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5728903412818909},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.5589931011199951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4926608204841614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44765743613243103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3508913218975067},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07183924317359924},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230220604","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230220604","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":7,"referenced_works":["https://openalex.org/W1975807353","https://openalex.org/W2022150791","https://openalex.org/W2029791926","https://openalex.org/W2049010908","https://openalex.org/W2075207773","https://openalex.org/W2156503228","https://openalex.org/W4238196893"],"related_works":["https://openalex.org/W2161182859","https://openalex.org/W2118320476","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/W3187836939"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2,19],"that":[3,16,20],"a":[4,12,21],"degree\u2010five":[5,22],"Steiner":[6,23],"point":[7,24],"can":[8],"never":[9],"appear":[10],"in":[11],"least\u2010cost":[13],"planar":[14],"network;":[15],"is":[17],"we":[18],"actally":[25],"increases":[26],"the":[27],"cost.":[28]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
