{"id":"https://openalex.org/W1981466335","doi":"https://doi.org/10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","title":"An approximation scheme for some Steiner tree problems in the plane","display_name":"An approximation scheme for some Steiner tree problems in the plane","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W1981466335","doi":"https://doi.org/10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","mag":"1981466335"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","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/A5065315257","display_name":"Lusheng Wang","orcid":"https://orcid.org/0000-0002-4344-8791"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"Lusheng Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario L8S 4K1, Canada","Computer Science Department, University of California, Davis"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Computer Science Department, University of California, Davis","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101911266","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0003-3833-4498"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tao Jiang","raw_affiliation_strings":["Department of Computer Science, McMaster University, Hamilton, Ontario L8S 4K1, Canada","Department of Computer Science , McMaster University , Hamilton, Ontario, L8S 4K1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Department of Computer Science , McMaster University , Hamilton, Ontario, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065315257"],"corresponding_institution_ids":["https://openalex.org/I84218800","https://openalex.org/I98251732"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.5419,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.65309981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"4","first_page":"187","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.807699978351593,"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":0.807699978351593,"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":0.7502999901771545,"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/T11106","display_name":"Data Management and Algorithms","score":0.694599986076355,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/steiner-tree-problem","display_name":"Steiner tree problem","score":0.9375042915344238},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6075517535209656},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5593687891960144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5338128209114075},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.48231053352355957},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46262526512145996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4271864593029022},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4204278588294983},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11748349666595459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06678131222724915}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.9375042915344238},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6075517535209656},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5593687891960144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5338128209114075},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.48231053352355957},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46262526512145996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4271864593029022},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4204278588294983},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11748349666595459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06678131222724915}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199612)28:4<187::aid-net3>3.0.co;2-h","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":0,"referenced_works":[],"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/W3187836939"],"abstract_inverted_index":{"We":[0],"design":[1],"a":[2,63],"polynomial-time":[3],"approximation":[4],"scheme":[5],"for":[6,29,56,77,85],"the":[7,12,15,25,30,36,39,47,50,67,78,86,93],"Steiner":[8],"tree":[9,28],"problem":[10],"in":[11,24],"plane":[13],"when":[14,90],"given":[16,31],"set":[17,32],"of":[18,33,38,49,70],"regular":[19,34],"points":[20],"is":[21,42,73],"c-local,":[22],"i.e.,":[23],"minimum-cost":[26],"spanning":[27],"points,":[35],"length":[37,48],"longest":[40],"edge":[41],"at":[43],"most":[44],"c":[45],"times":[46],"shortest":[51],"edge.":[52],"The":[53],"algorithm":[54,72],"works":[55],"both":[57],"Euclidean":[58,79],"and":[59,81],"rectilinear":[60,87],"metrics.":[61],"For":[62],"fixed":[64],"number":[65],"k,":[66],"performance":[68,94],"ratio":[69,95],"our":[71],"1":[74,82],"+":[75,83],"(35c/&3ksquare;)":[76],"metric":[80],"(9c/k)":[84],"metric.":[88],"Thus,":[89],"k":[91],"increases,":[92],"approaches":[96],"1.":[97],"\u00a9":[98],"1996":[99],"John":[100],"Wiley":[101],"&":[102],"Sons,":[103],"Inc.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
