{"id":"https://openalex.org/W1492237614","doi":"https://doi.org/10.1007/978-3-642-16367-8_10","title":"Transitive-Closure Spanners: A Survey","display_name":"Transitive-Closure Spanners: A Survey","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1492237614","doi":"https://doi.org/10.1007/978-3-642-16367-8_10","mag":"1492237614"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-16367-8_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16367-8_10","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/A5080839778","display_name":"Sofya Raskhodnikova","orcid":"https://orcid.org/0000-0002-4902-050X"},"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":"Sofya Raskhodnikova","raw_affiliation_strings":["Pennsylvania State University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080839778"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.0293,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94442032,"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":"167","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T10237","display_name":"Cryptography and Data Security","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/transitive-closure","display_name":"Transitive closure","score":0.8872283697128296},{"id":"https://openalex.org/keywords/transitive-reduction","display_name":"Transitive reduction","score":0.638378381729126},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6075953841209412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5749903321266174},{"id":"https://openalex.org/keywords/spanner","display_name":"Spanner","score":0.5663120150566101},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.564630925655365},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5183966755867004},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.518207848072052},{"id":"https://openalex.org/keywords/property-testing","display_name":"Property testing","score":0.42816871404647827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4018074572086334},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36084046959877014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3410148024559021},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13613608479499817},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.12431356310844421},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.10156068205833435}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.8872283697128296},{"id":"https://openalex.org/C129691609","wikidata":"https://www.wikidata.org/wiki/Q3088151","display_name":"Transitive reduction","level":5,"score":0.638378381729126},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6075953841209412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5749903321266174},{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.5663120150566101},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.564630925655365},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5183966755867004},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.518207848072052},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.42816871404647827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4018074572086334},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36084046959877014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3410148024559021},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13613608479499817},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.12431356310844421},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.10156068205833435},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-16367-8_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16367-8_10","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:CiteSeerX.psu:10.1.1.176.200","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.176.200","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.psu.edu/%7Esofya/spanners-survey.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.415.6924","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.415.6924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/~oded/PTW/sr.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W80618698","https://openalex.org/W162078933","https://openalex.org/W1482821151","https://openalex.org/W1487363550","https://openalex.org/W1489273001","https://openalex.org/W1503252650","https://openalex.org/W1534368076","https://openalex.org/W1562956125","https://openalex.org/W1565009874","https://openalex.org/W1568961751","https://openalex.org/W1586809440","https://openalex.org/W1589421353","https://openalex.org/W1599622173","https://openalex.org/W1603384057","https://openalex.org/W1632764828","https://openalex.org/W1677489834","https://openalex.org/W1722462003","https://openalex.org/W1969446695","https://openalex.org/W1970630090","https://openalex.org/W1972920042","https://openalex.org/W1982128483","https://openalex.org/W1983706581","https://openalex.org/W1985409003","https://openalex.org/W1986542077","https://openalex.org/W1990313671","https://openalex.org/W1997369416","https://openalex.org/W1998721609","https://openalex.org/W2002041206","https://openalex.org/W2002296715","https://openalex.org/W2016443407","https://openalex.org/W2018925011","https://openalex.org/W2018963243","https://openalex.org/W2021328268","https://openalex.org/W2032825346","https://openalex.org/W2035980452","https://openalex.org/W2036752160","https://openalex.org/W2038521541","https://openalex.org/W2038643780","https://openalex.org/W2038973759","https://openalex.org/W2044935944","https://openalex.org/W2045446569","https://openalex.org/W2047899424","https://openalex.org/W2056403031","https://openalex.org/W2057994027","https://openalex.org/W2061468234","https://openalex.org/W2069001533","https://openalex.org/W2077824753","https://openalex.org/W2081163699","https://openalex.org/W2085336826","https://openalex.org/W2085630237","https://openalex.org/W2091569826","https://openalex.org/W2097747425","https://openalex.org/W2110920860","https://openalex.org/W2115968181","https://openalex.org/W2116455242","https://openalex.org/W2118469945","https://openalex.org/W2121615984","https://openalex.org/W2128087748","https://openalex.org/W2141078756","https://openalex.org/W2150410057","https://openalex.org/W2157760787","https://openalex.org/W2188570169","https://openalex.org/W2400386569","https://openalex.org/W2949065216","https://openalex.org/W2950087390","https://openalex.org/W3023302315","https://openalex.org/W4205300528","https://openalex.org/W4235805661","https://openalex.org/W4245082111","https://openalex.org/W4254807835","https://openalex.org/W7026635939"],"related_works":["https://openalex.org/W1553139688","https://openalex.org/W2362009423","https://openalex.org/W2371151875","https://openalex.org/W2383282217","https://openalex.org/W2136009070","https://openalex.org/W4230967508","https://openalex.org/W2012063573","https://openalex.org/W1499233953","https://openalex.org/W1994877243","https://openalex.org/W1996983051"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-10T14:10:52.464848","created_date":"2025-10-10T00:00:00"}