{"id":"https://openalex.org/W3033860607","doi":"https://doi.org/10.3934/nhm.2020031","title":"A 2-dimensional shape optimization problem for tree branches","display_name":"A 2-dimensional shape optimization problem for tree branches","publication_year":2020,"publication_date":"2020-11-04","ids":{"openalex":"https://openalex.org/W3033860607","doi":"https://doi.org/10.3934/nhm.2020031","mag":"3033860607"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2020031","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2020031","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e43d3af5-006f-4f9b-b3dc-ba6bbd88d00c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=e43d3af5-006f-4f9b-b3dc-ba6bbd88d00c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alberto Bressan","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alberto Bressan","raw_affiliation_strings":["Department of Mathematics, Penn State University, University Park, PA 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Penn State University, University Park, PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sondre Tesdal Galtung","orcid":null},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Sondre Tesdal Galtung","raw_affiliation_strings":["Department of Mathematical Sciences, NTNU \ufffdC Norwegian University of Science and Technology, NO-7491 Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, NTNU \ufffdC Norwegian University of Science and Technology, NO-7491 Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.060104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.4749999940395355,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11115","display_name":"Topology Optimization in Engineering","score":0.4749999940395355,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.15289999544620514,"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":0.1445000022649765,"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/tree","display_name":"Tree (set theory)","score":0.6481999754905701},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.6190999746322632},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5299000144004822},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47940000891685486},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.3962000012397766},{"id":"https://openalex.org/keywords/trunk","display_name":"Trunk","score":0.29829999804496765}],"concepts":[{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6481999754905701},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.6190999746322632},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5299000144004822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5030999779701233},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47940000891685486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42320001125335693},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3962000012397766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3662000000476837},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2994999885559082},{"id":"https://openalex.org/C2781197403","wikidata":"https://www.wikidata.org/wiki/Q193472","display_name":"Trunk","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.289900004863739},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2660999894142151},{"id":"https://openalex.org/C2992151728","wikidata":"https://www.wikidata.org/wiki/Q474883","display_name":"Water utility","level":3,"score":0.26499998569488525},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3934/nhm.2020031","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2020031","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e43d3af5-006f-4f9b-b3dc-ba6bbd88d00c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.01679","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.01679","pdf_url":"https://arxiv.org/pdf/2006.01679","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:doaj.org/article:e0b57c2404894113a26faf37fd93de1c","is_oa":false,"landing_page_url":"https://doaj.org/article/e0b57c2404894113a26faf37fd93de1c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"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":"Networks and Heterogeneous Media, Vol 16, Iss 1, Pp 1-29 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2020031","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2020031","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e43d3af5-006f-4f9b-b3dc-ba6bbd88d00c","source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks &amp; Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3033860607.pdf","grobid_xml":"https://content.openalex.org/works/W3033860607.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>The":[1],"paper":[2],"is":[3,50],"concerned":[4],"with":[5],"a":[6,22,45],"shape":[7],"optimization":[8],"problem,":[9],"where":[10],"the":[11,17,28,36,42,48],"functional":[12],"to":[13,40,52],"be":[14,53],"maximized":[15],"describes":[16],"total":[18],"sunlight":[19],"collected":[20],"by":[21],"distribution":[23],"of":[24,38],"tree":[25],"leaves,":[26],"minus":[27],"cost":[29],"for":[30],"transporting":[31],"water":[32],"and":[33,55],"nutrient":[34],"from":[35],"base":[37],"trunk":[39],"all":[41],"leaves.":[43],"In":[44],"2-dimensional":[46],"setting,":[47],"solution":[49],"proved":[51],"unique":[54],"explicitly":[56],"determined.":[57]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2020-06-12T00:00:00"}
