{"id":"https://openalex.org/W2989934715","doi":"https://doi.org/10.1007/978-3-030-61792-9_1","title":"PTAS for Steiner Tree on Map Graphs","display_name":"PTAS for Steiner Tree on Map Graphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2989934715","doi":"https://doi.org/10.1007/978-3-030-61792-9_1","mag":"2989934715"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-61792-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-61792-9_1","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1912.00717","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023591555","display_name":"Jaros\u0142aw Byrka","orcid":"https://orcid.org/0000-0002-3387-0913"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Jaros\u0142aw Byrka","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020419902","display_name":"Mateusz Lewandowski","orcid":"https://orcid.org/0000-0003-2912-099X"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mateusz Lewandowski","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056943131","display_name":"Syed Mohammad Meesum","orcid":"https://orcid.org/0000-0002-1771-403X"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Syed Mohammad Meesum","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"[Inst. of Comput. Sci., Univ. of Wroclaw, Wroc\u0142aw, Poland]","institution_ids":["https://openalex.org/I219388962"]}]},{"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/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Joachim Spoerhase","raw_affiliation_strings":["Aalto University, Espoo, Finland","Aalto University; Espoo Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Aalto University; Espoo Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067431390","display_name":"Sumedha Uniyal","orcid":"https://orcid.org/0000-0002-3999-7827"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Sumedha Uniyal","raw_affiliation_strings":["Aalto University, Espoo, Finland","Aalto University; Espoo Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Aalto University; Espoo Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5023591555"],"corresponding_institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01772407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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/T10142","display_name":"Formal Methods in Verification","score":0.980400025844574,"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":0.9451096057891846},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7114530205726624},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6804994940757751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6359204053878784},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6033463478088379},{"id":"https://openalex.org/keywords/spanner","display_name":"Spanner","score":0.5148693323135376},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5091280341148376},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5027687549591064},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.46435120701789856},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.441457599401474},{"id":"https://openalex.org/keywords/gomory\u2013hu-tree","display_name":"Gomory\u2013Hu tree","score":0.4319634735584259},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.3281676769256592},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2902577519416809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2648557424545288},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.21175870299339294},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.10832315683364868},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.05692431330680847}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.9451096057891846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7114530205726624},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6804994940757751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6359204053878784},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6033463478088379},{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.5148693323135376},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5091280341148376},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5027687549591064},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.46435120701789856},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.441457599401474},{"id":"https://openalex.org/C147517495","wikidata":"https://www.wikidata.org/wiki/Q5581241","display_name":"Gomory\u2013Hu tree","level":5,"score":0.4319634735584259},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.3281676769256592},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2902577519416809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2648557424545288},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.21175870299339294},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.10832315683364868},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.05692431330680847},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-61792-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-61792-9_1","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:1912.00717","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.00717","pdf_url":"https://arxiv.org/pdf/1912.00717","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":"mag:2989934715","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.00717v1","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":"doi:10.48550/arxiv.1912.00717","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.00717","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1912.00717","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.00717","pdf_url":"https://arxiv.org/pdf/1912.00717","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1546924356","https://openalex.org/W1963899113","https://openalex.org/W1976584101","https://openalex.org/W1982180670","https://openalex.org/W1983369141","https://openalex.org/W1996668544","https://openalex.org/W2003272551","https://openalex.org/W2010912147","https://openalex.org/W2045749371","https://openalex.org/W2062254875","https://openalex.org/W2065166038","https://openalex.org/W2083352539","https://openalex.org/W2089847997","https://openalex.org/W2127485201","https://openalex.org/W2132169470","https://openalex.org/W2156760067","https://openalex.org/W2204196730","https://openalex.org/W2294414813","https://openalex.org/W2415335518","https://openalex.org/W2475293459","https://openalex.org/W2570206580","https://openalex.org/W2800659169","https://openalex.org/W2900306427","https://openalex.org/W2943587448","https://openalex.org/W2950450493","https://openalex.org/W2963317864","https://openalex.org/W6858027468"],"related_works":["https://openalex.org/W3117154985","https://openalex.org/W2089847997","https://openalex.org/W1570796947","https://openalex.org/W2108770488","https://openalex.org/W2087083181","https://openalex.org/W2949165555","https://openalex.org/W3213899165","https://openalex.org/W1519758470","https://openalex.org/W137798462","https://openalex.org/W58132005","https://openalex.org/W1524393328","https://openalex.org/W2488261716","https://openalex.org/W1511480398","https://openalex.org/W2117054620","https://openalex.org/W1606383090","https://openalex.org/W2962710864","https://openalex.org/W2008229997","https://openalex.org/W2513418505","https://openalex.org/W1528845632","https://openalex.org/W174241252"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
