{"id":"https://openalex.org/W4416862315","doi":"https://doi.org/10.1007/s00454-025-00803-9","title":"Optimal Euclidean Tree Covers","display_name":"Optimal Euclidean Tree Covers","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W4416862315","doi":"https://doi.org/10.1007/s00454-025-00803-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-025-00803-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-025-00803-9","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","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/A5003923315","display_name":"Hsien-Chih Chang","orcid":"https://orcid.org/0000-0001-6714-7988"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hsien-Chih Chang","raw_affiliation_strings":["Department of Computer Science, Dartmouth College, New Hampshire, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Dartmouth College, New Hampshire, US","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067955248","display_name":"Jonathan Conroy","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Conroy","raw_affiliation_strings":["Department of Computer Science, Dartmouth College, New Hampshire, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Dartmouth College, New Hampshire, US","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101936199","display_name":"Hung L\u00ea","orcid":"https://orcid.org/0000-0002-3126-184X"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hung Le","raw_affiliation_strings":["CICS, UMass Amherst, Amherst, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CICS, UMass Amherst, Amherst, USA","institution_ids":["https://openalex.org/I177605424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120574765","display_name":"Lazar Milenkovi\u0107","orcid":"https://orcid.org/0000-0001-5777-2229"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Lazar Milenkovi\u0107","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0001-5777-2229","affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084685735","display_name":"Shay Solomon","orcid":"https://orcid.org/0000-0003-2254-5100"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Shay Solomon","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050147589","display_name":"Cuong Than","orcid":"https://orcid.org/0000-0001-7350-331X"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cuong Than","raw_affiliation_strings":["CICS, UMass Amherst, Amherst, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CICS, UMass Amherst, Amherst, USA","institution_ids":["https://openalex.org/I177605424"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5120574765"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.56009615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"75","issue":"2","first_page":"625","last_page":"659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9355000257492065,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9355000257492065,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.02280000038444996,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.013100000098347664,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5722000002861023},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.5277000069618225},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5131999850273132},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.5015000104904175},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.48069998621940613},{"id":"https://openalex.org/keywords/euclidean-minimum-spanning-tree","display_name":"Euclidean minimum spanning tree","score":0.4596000015735626},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.44769999384880066},{"id":"https://openalex.org/keywords/interval-tree","display_name":"Interval tree","score":0.4242999851703644}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.854200005531311},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7185999751091003},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5722000002861023},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.5277000069618225},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5131999850273132},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5034000277519226},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.5015000104904175},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.48069998621940613},{"id":"https://openalex.org/C145685049","wikidata":"https://www.wikidata.org/wiki/Q4454941","display_name":"Euclidean minimum spanning tree","level":4,"score":0.4596000015735626},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.44769999384880066},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.4242999851703644},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.38659998774528503},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3278000056743622},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C94557470","wikidata":"https://www.wikidata.org/wiki/Q2377385","display_name":"Segment tree","level":5,"score":0.3124000132083893},{"id":"https://openalex.org/C68775195","wikidata":"https://www.wikidata.org/wiki/Q818944","display_name":"Range tree","level":5,"score":0.30889999866485596},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C66844729","wikidata":"https://www.wikidata.org/wiki/Q841816","display_name":"Inductive dimension","level":5,"score":0.28119999170303345},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-025-00803-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-025-00803-9","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G590734408","display_name":null,"funder_award_id":"101043159","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G6968301837","display_name":null,"funder_award_id":"1991/1","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7271835885","display_name":"CAREER: Geometric Techniques for Topological Graph Algorithms","funder_award_id":"2237288","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1505970908","https://openalex.org/W1587867115","https://openalex.org/W1952648253","https://openalex.org/W1981859328","https://openalex.org/W1986405515","https://openalex.org/W2002041206","https://openalex.org/W2005580106","https://openalex.org/W2005985615","https://openalex.org/W2017427469","https://openalex.org/W2024409132","https://openalex.org/W2030844359","https://openalex.org/W2034501275","https://openalex.org/W2045446569","https://openalex.org/W2057994027","https://openalex.org/W2074843875","https://openalex.org/W2075022748","https://openalex.org/W2093095561","https://openalex.org/W2093521781","https://openalex.org/W2102465486","https://openalex.org/W2127248062","https://openalex.org/W2134373920","https://openalex.org/W2150410057","https://openalex.org/W2151358465","https://openalex.org/W2167838689","https://openalex.org/W2493698126","https://openalex.org/W2946166375","https://openalex.org/W2963873784","https://openalex.org/W3085327550","https://openalex.org/W3161610145","https://openalex.org/W4221056862","https://openalex.org/W4281673115","https://openalex.org/W4286500901","https://openalex.org/W4298008751","https://openalex.org/W4390098115","https://openalex.org/W4390098299","https://openalex.org/W4390575927"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-12-01T00:00:00"}
