{"id":"https://openalex.org/W2258894856","doi":"https://doi.org/10.1007/978-3-662-48971-0_37","title":"Colored Non-crossing Euclidean Steiner Forest","display_name":"Colored Non-crossing Euclidean Steiner Forest","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2258894856","doi":"https://doi.org/10.1007/978-3-662-48971-0_37","mag":"2258894856"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-48971-0_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-48971-0_37","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":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.05681","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035977878","display_name":"Sergey Bereg","orcid":"https://orcid.org/0000-0002-2866-6766"},"institutions":[{"id":"https://openalex.org/I182980787","display_name":"University of Dallas","ror":"https://ror.org/00v3ak792","country_code":"US","type":"education","lineage":["https://openalex.org/I182980787"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergey Bereg","raw_affiliation_strings":["University of Texas, Dallas, USA","(University of Texas)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas, Dallas, USA","institution_ids":["https://openalex.org/I182980787"]},{"raw_affiliation_string":"(University of Texas)","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056277334","display_name":"Krzysztof Fleszar","orcid":"https://orcid.org/0000-0002-1129-3289"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Krzysztof Fleszar","raw_affiliation_strings":["Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","Universit\u00e4t W\u00dcrzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00dcrzburg","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029516206","display_name":"Philipp Kindermann","orcid":"https://orcid.org/0000-0001-5764-7719"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Kindermann","raw_affiliation_strings":["Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","Universit\u00e4t W\u00dcrzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00dcrzburg","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058217001","display_name":"Sergey Pupyrev","orcid":"https://orcid.org/0000-0003-4089-673X"},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]},{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Sergey Pupyrev","raw_affiliation_strings":["Department of Computer Science, University of Arizona, Tucson, AZ, USA","Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, Russia","Ural Federal University","University of Arizona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]},{"raw_affiliation_string":"Ural Federal University","institution_ids":["https://openalex.org/I130823665"]},{"raw_affiliation_string":"University of Arizona","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052812610","display_name":"Joachim Spoerhase","orcid":"https://orcid.org/0000-0002-2601-6452"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Spoerhase","raw_affiliation_strings":["Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","Universit\u00e4t W\u00dcrzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00dcrzburg","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014138072","display_name":"Alexander Wolff","orcid":"https://orcid.org/0000-0001-5872-718X"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Wolff","raw_affiliation_strings":["Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","Universit\u00e4t W\u00dcrzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Informatik\u00a0I, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00dcrzburg","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"429","last_page":"441"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9975000023841858,"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":0.989799976348877,"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/steiner-tree-problem","display_name":"Steiner tree problem","score":0.9096763134002686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8304581642150879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6531638503074646},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6399443745613098},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5399729013442993},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5298770666122437},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.5245930552482605},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46835747361183167},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4644138216972351},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3500964641571045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11989292502403259},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10910466313362122}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.9096763134002686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8304581642150879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6531638503074646},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6399443745613098},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5399729013442993},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5298770666122437},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.5245930552482605},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46835747361183167},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4644138216972351},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3500964641571045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11989292502403259},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10910466313362122},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/978-3-662-48971-0_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-48971-0_37","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:arXiv.org:1509.05681","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05681","pdf_url":"https://arxiv.org/pdf/1509.05681","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":"","raw_type":"text"},{"id":"pmh:oai:elar.urfu.ru:10995/102318","is_oa":true,"landing_page_url":"https://www.scopus.com/inward/record.uri?eid=2-s2.0-84952045448&doi=10.1007%2f978-3-662-48971-0_37&partnerID=40&md5=375c4c779c0002340ebfa12fc788ae46","pdf_url":"http://arxiv.org/pdf/1509.05681","source":{"id":"https://openalex.org/S4406922546","display_name":"Electronic Archive of Ural Federal University (ELAR UrFU)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:2258894856","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1509.05681.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:escidoc.org:escidoc:2554148","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0000-B559-0","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.mpg.de:item_2554148","is_oa":false,"landing_page_url":"https://hdl.handle.net/21.11116/0000-0000-B559-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.1509.05681","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1509.05681","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.05681","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05681","pdf_url":"https://arxiv.org/pdf/1509.05681","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":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6200000047683716,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W41655223","https://openalex.org/W183719015","https://openalex.org/W1491560029","https://openalex.org/W1535141968","https://openalex.org/W1559701472","https://openalex.org/W1994248285","https://openalex.org/W2004711288","https://openalex.org/W2007853611","https://openalex.org/W2011039300","https://openalex.org/W2045749371","https://openalex.org/W2087083181","https://openalex.org/W2087675574","https://openalex.org/W2101928287","https://openalex.org/W2103748259","https://openalex.org/W2104671918","https://openalex.org/W2108944178","https://openalex.org/W2109493405","https://openalex.org/W2115001291","https://openalex.org/W2128019210","https://openalex.org/W2143973853","https://openalex.org/W2152621157","https://openalex.org/W2159205441","https://openalex.org/W2165142526","https://openalex.org/W2168951837","https://openalex.org/W2613942975","https://openalex.org/W4240848777"],"related_works":["https://openalex.org/W2963509280","https://openalex.org/W1997126046","https://openalex.org/W2995411114","https://openalex.org/W1993673146","https://openalex.org/W2000408109","https://openalex.org/W2885566559","https://openalex.org/W3099735866","https://openalex.org/W2783256094","https://openalex.org/W2619106660","https://openalex.org/W2519759404","https://openalex.org/W1996753220","https://openalex.org/W1918785890","https://openalex.org/W1568391568","https://openalex.org/W3082147933","https://openalex.org/W1552177397","https://openalex.org/W3047003565","https://openalex.org/W2978544150","https://openalex.org/W2011697440","https://openalex.org/W3047986206","https://openalex.org/W2208485005"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}