{"id":"https://openalex.org/W1601733264","doi":"https://doi.org/10.1007/978-3-642-22300-6_3","title":"On the Area Requirements of Euclidean Minimum Spanning Trees","display_name":"On the Area Requirements of Euclidean Minimum Spanning Trees","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1601733264","doi":"https://doi.org/10.1007/978-3-642-22300-6_3","mag":"1601733264"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22300-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22300-6_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/175657","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010111302","display_name":"Patrizio Angelini","orcid":"https://orcid.org/0000-0002-7602-1524"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Patrizio Angelini","raw_affiliation_strings":["Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079347890","display_name":"Till Bruckdorfer","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Till Bruckdorfer","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058517041","display_name":"Marco Chiesa","orcid":"https://orcid.org/0000-0002-9675-9729"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Chiesa","raw_affiliation_strings":["Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025842302","display_name":"Fabrizio Frati","orcid":"https://orcid.org/0000-0001-5987-8713"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["CH","IT"],"is_corresponding":false,"raw_author_name":"Fabrizio Frati","raw_affiliation_strings":["Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy","School of Basic Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"School of Basic Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103045561","display_name":"Michael Kaufmann","orcid":"https://orcid.org/0000-0001-9186-3538"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Kaufmann","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022463724","display_name":"Claudio Squarcella","orcid":null},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Squarcella","raw_affiliation_strings":["Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Automazione, Universit\u00e0 Roma Tre, Italy","institution_ids":["https://openalex.org/I119003972"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5010111302"],"corresponding_institution_ids":["https://openalex.org/I119003972"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.7831,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.96784566,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"25","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9979000091552734,"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":0.9937000274658203,"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/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.8195598125457764},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.8027325868606567},{"id":"https://openalex.org/keywords/euclidean-minimum-spanning-tree","display_name":"Euclidean minimum spanning tree","score":0.7359052896499634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.657401442527771},{"id":"https://openalex.org/keywords/k-minimum-spanning-tree","display_name":"k-minimum spanning tree","score":0.6358078718185425},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.619310736656189},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5689191818237305},{"id":"https://openalex.org/keywords/minimum-degree-spanning-tree","display_name":"Minimum degree spanning tree","score":0.5352001786231995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5121312141418457},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5080385208129883},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5069268345832825},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.476325124502182},{"id":"https://openalex.org/keywords/distributed-minimum-spanning-tree","display_name":"Distributed minimum spanning tree","score":0.4561580419540405},{"id":"https://openalex.org/keywords/reverse-delete-algorithm","display_name":"Reverse-delete algorithm","score":0.4441305696964264},{"id":"https://openalex.org/keywords/kruskals-algorithm","display_name":"Kruskal's algorithm","score":0.44109833240509033},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.42669668793678284},{"id":"https://openalex.org/keywords/shortest-path-tree","display_name":"Shortest-path tree","score":0.4236396551132202},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38275930285453796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31186550855636597},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.19479721784591675},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.18649405241012573},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10368859767913818},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08909818530082703},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.06071987748146057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05994027853012085}],"concepts":[{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.8195598125457764},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.8027325868606567},{"id":"https://openalex.org/C145685049","wikidata":"https://www.wikidata.org/wiki/Q4454941","display_name":"Euclidean minimum spanning tree","level":4,"score":0.7359052896499634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.657401442527771},{"id":"https://openalex.org/C202750272","wikidata":"https://www.wikidata.org/wiki/Q6322849","display_name":"k-minimum spanning tree","level":5,"score":0.6358078718185425},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.619310736656189},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5689191818237305},{"id":"https://openalex.org/C64271015","wikidata":"https://www.wikidata.org/wiki/Q6865444","display_name":"Minimum degree spanning tree","level":3,"score":0.5352001786231995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5121312141418457},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5080385208129883},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5069268345832825},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.476325124502182},{"id":"https://openalex.org/C65949645","wikidata":"https://www.wikidata.org/wiki/Q5283163","display_name":"Distributed minimum spanning tree","level":3,"score":0.4561580419540405},{"id":"https://openalex.org/C199346575","wikidata":"https://www.wikidata.org/wiki/Q4925151","display_name":"Reverse-delete algorithm","level":4,"score":0.4441305696964264},{"id":"https://openalex.org/C63645285","wikidata":"https://www.wikidata.org/wiki/Q797860","display_name":"Kruskal's algorithm","level":3,"score":0.44109833240509033},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.42669668793678284},{"id":"https://openalex.org/C23394520","wikidata":"https://www.wikidata.org/wiki/Q4919350","display_name":"Shortest-path tree","level":3,"score":0.4236396551132202},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38275930285453796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31186550855636597},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.19479721784591675},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.18649405241012573},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10368859767913818},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08909818530082703},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.06071987748146057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05994027853012085},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-22300-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22300-6_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:dial.uclouvain.be:boreal:178581","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/178581","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:infoscience.epfl.ch:175657","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/175657","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:iris.uniroma3.it:11590/160094","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/160094","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:175657","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/175657","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W230435904","https://openalex.org/W1495194784","https://openalex.org/W1507697328","https://openalex.org/W1601733264","https://openalex.org/W1796837214","https://openalex.org/W1977267311","https://openalex.org/W1994248285","https://openalex.org/W2002985966","https://openalex.org/W2011039300","https://openalex.org/W2022563199","https://openalex.org/W2029888508","https://openalex.org/W2050602252","https://openalex.org/W2072970094","https://openalex.org/W2073262840","https://openalex.org/W2088839217","https://openalex.org/W2089168252","https://openalex.org/W2165142526","https://openalex.org/W2571450254"],"related_works":["https://openalex.org/W2943635264","https://openalex.org/W3016811403","https://openalex.org/W4308416203","https://openalex.org/W2059360098","https://openalex.org/W88291963","https://openalex.org/W1587959445","https://openalex.org/W1991421283","https://openalex.org/W3081212354","https://openalex.org/W2048177396","https://openalex.org/W4380840098"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}