{"id":"https://openalex.org/W2519759404","doi":"https://doi.org/10.1007/s11590-016-1078-5","title":"Approximation algorithms for constructing spanning K-trees using stock pieces of bounded length","display_name":"Approximation algorithms for constructing spanning K-trees using stock pieces of bounded length","publication_year":2016,"publication_date":"2016-09-17","ids":{"openalex":"https://openalex.org/W2519759404","doi":"https://doi.org/10.1007/s11590-016-1078-5","mag":"2519759404"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-016-1078-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1078-5","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","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/A5004025610","display_name":"Junran Lichen","orcid":"https://orcid.org/0000-0003-1385-8957"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junran Lichen","raw_affiliation_strings":["Department of Mathematics, Yunnan University, Kunming, 650091, People\u2019s Republic of China","Department of Mathematics, Yunnan University, Kunming, 650091, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yunnan University, Kunming, 650091, People\u2019s Republic of China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"Department of Mathematics, Yunnan University, Kunming, 650091, People's Republic of China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018144399","display_name":"Jianping Li","orcid":"https://orcid.org/0000-0003-1508-1440"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianping Li","raw_affiliation_strings":["Department of Mathematics, Yunnan University, Kunming, 650091, People\u2019s Republic of China","Department of Mathematics, Yunnan University, Kunming, 650091, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yunnan University, Kunming, 650091, People\u2019s Republic of China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"Department of Mathematics, Yunnan University, Kunming, 650091, People's Republic of China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108045111","display_name":"Ko\u2010Wei Lih","orcid":"https://orcid.org/0000-0003-1523-3555"},"institutions":[{"id":"https://openalex.org/I4210099334","display_name":"Institute of Mathematics, Academia Sinica","ror":"https://ror.org/0120q3031","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210099334","https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ko-Wei Lih","raw_affiliation_strings":["Institute of Mathematics, Academia Sinica, Taipei, 10617, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Academia Sinica, Taipei, 10617, Taiwan","institution_ids":["https://openalex.org/I4210099334"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018144399"],"corresponding_institution_ids":["https://openalex.org/I189210763"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12299191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"8","first_page":"1663","last_page":"1675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9993000030517578,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9993000030517578,"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/T11106","display_name":"Data Management and Algorithms","score":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.8727328181266785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7837687134742737},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.7655667066574097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7089880704879761},{"id":"https://openalex.org/keywords/minimum-degree-spanning-tree","display_name":"Minimum degree spanning tree","score":0.6298617720603943},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5817772150039673},{"id":"https://openalex.org/keywords/connected-dominating-set","display_name":"Connected dominating set","score":0.5193227529525757},{"id":"https://openalex.org/keywords/gomory\u2013hu-tree","display_name":"Gomory\u2013Hu tree","score":0.50956130027771},{"id":"https://openalex.org/keywords/k-minimum-spanning-tree","display_name":"k-minimum spanning tree","score":0.5056746006011963},{"id":"https://openalex.org/keywords/kruskals-algorithm","display_name":"Kruskal's algorithm","score":0.48648542165756226},{"id":"https://openalex.org/keywords/shortest-path-tree","display_name":"Shortest-path tree","score":0.48389849066734314},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.4512660503387451},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4161880314350128},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.31041425466537476},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.1769847571849823},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.10171344876289368},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.055426836013793945}],"concepts":[{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.8727328181266785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7837687134742737},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.7655667066574097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7089880704879761},{"id":"https://openalex.org/C64271015","wikidata":"https://www.wikidata.org/wiki/Q6865444","display_name":"Minimum degree spanning tree","level":3,"score":0.6298617720603943},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5817772150039673},{"id":"https://openalex.org/C37810922","wikidata":"https://www.wikidata.org/wiki/Q5161409","display_name":"Connected dominating set","level":3,"score":0.5193227529525757},{"id":"https://openalex.org/C147517495","wikidata":"https://www.wikidata.org/wiki/Q5581241","display_name":"Gomory\u2013Hu tree","level":5,"score":0.50956130027771},{"id":"https://openalex.org/C202750272","wikidata":"https://www.wikidata.org/wiki/Q6322849","display_name":"k-minimum spanning tree","level":5,"score":0.5056746006011963},{"id":"https://openalex.org/C63645285","wikidata":"https://www.wikidata.org/wiki/Q797860","display_name":"Kruskal's algorithm","level":3,"score":0.48648542165756226},{"id":"https://openalex.org/C23394520","wikidata":"https://www.wikidata.org/wiki/Q4919350","display_name":"Shortest-path tree","level":3,"score":0.48389849066734314},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.4512660503387451},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4161880314350128},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.31041425466537476},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.1769847571849823},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.10171344876289368},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.055426836013793945}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-016-1078-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1078-5","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2228450569","display_name":null,"funder_award_id":"No.11461081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1543921836","https://openalex.org/W1766819550","https://openalex.org/W1965680834","https://openalex.org/W1971468650","https://openalex.org/W1990313671","https://openalex.org/W1998874971","https://openalex.org/W2009803313","https://openalex.org/W2011039300","https://openalex.org/W2017927472","https://openalex.org/W2022179164","https://openalex.org/W2022901437","https://openalex.org/W2035231387","https://openalex.org/W2045212439","https://openalex.org/W2052064586","https://openalex.org/W2058748455","https://openalex.org/W2067802172","https://openalex.org/W2079200160","https://openalex.org/W2114844199","https://openalex.org/W2117226423","https://openalex.org/W2128348056","https://openalex.org/W2169528473","https://openalex.org/W2611804663","https://openalex.org/W2800875754","https://openalex.org/W2956015669","https://openalex.org/W2988480584","https://openalex.org/W4249318479","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1514905840","https://openalex.org/W1997570556","https://openalex.org/W2058332489","https://openalex.org/W2408068853","https://openalex.org/W1576317141","https://openalex.org/W2071845176","https://openalex.org/W1958279402","https://openalex.org/W2911818503","https://openalex.org/W2117879716","https://openalex.org/W1754127855"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
