{"id":"https://openalex.org/W1203493243","doi":"https://doi.org/10.1007/978-3-319-19647-3_19","title":"Union Closed Tree Convex Sets","display_name":"Union Closed Tree Convex Sets","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1203493243","doi":"https://doi.org/10.1007/978-3-319-19647-3_19","mag":"1203493243"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-19647-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-19647-3_19","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100365651","display_name":"Tian Liu","orcid":"https://orcid.org/0000-0002-4587-4399"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tian Liu","raw_affiliation_strings":["Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, 100871, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100665809","display_name":"Ke Xu","orcid":"https://orcid.org/0000-0001-8669-3909"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ke Xu","raw_affiliation_strings":["National Lab of Software Development Environment, Beihang University, Beijing, 100191, China"],"affiliations":[{"raw_affiliation_string":"National Lab of Software Development Environment, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100365651","https://openalex.org/A5100665809"],"corresponding_institution_ids":["https://openalex.org/I20231570","https://openalex.org/I82880672"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9255,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72840053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"198","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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":0.9976000189781189,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.737937331199646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7083160281181335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7077176570892334},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5839493870735168},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5734673142433167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4932324290275574},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46955186128616333},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.44515711069107056},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43562060594558716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18627291917800903},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.09402722120285034},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07058525085449219}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.737937331199646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7083160281181335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7077176570892334},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5839493870735168},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5734673142433167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4932324290275574},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46955186128616333},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.44515711069107056},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43562060594558716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18627291917800903},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.09402722120285034},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07058525085449219},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-19647-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-19647-3_19","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W157976967","https://openalex.org/W213040184","https://openalex.org/W271098353","https://openalex.org/W606453859","https://openalex.org/W1007141672","https://openalex.org/W1579049696","https://openalex.org/W2059461644","https://openalex.org/W2079887842","https://openalex.org/W2104498537","https://openalex.org/W2145337305","https://openalex.org/W2154658620","https://openalex.org/W2173684163","https://openalex.org/W2561675875","https://openalex.org/W2950728075","https://openalex.org/W2953242485","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W4226058339","https://openalex.org/W4221156915","https://openalex.org/W4288324104","https://openalex.org/W2951573408","https://openalex.org/W4238664286","https://openalex.org/W2941078816","https://openalex.org/W72541825"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}