{"id":"https://openalex.org/W2894903419","doi":"https://doi.org/10.1007/978-3-030-04612-5_9","title":"Approximating the Existential Theory of the Reals","display_name":"Approximating the Existential Theory of the Reals","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2894903419","doi":"https://doi.org/10.1007/978-3-030-04612-5_9","mag":"2894903419"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-04612-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-04612-5_9","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/A5048361071","display_name":"Argyrios Deligkas","orcid":"https://orcid.org/0000-0002-6513-6748"},"institutions":[{"id":"https://openalex.org/I2802641067","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802641067"]},{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Argyrios Deligkas","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, UK","Leverhulme Research Centre for Functional Materials Design, Liverpool, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"Leverhulme Research Centre for Functional Materials Design, Liverpool, UK","institution_ids":["https://openalex.org/I2802641067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029623300","display_name":"John Fearnley","orcid":"https://orcid.org/0000-0003-0791-4342"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Fearnley","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024301526","display_name":"Themistoklis Melissourgos","orcid":"https://orcid.org/0000-0002-9867-6257"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Themistoklis Melissourgos","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011756177","display_name":"Paul G. Spirakis","orcid":"https://orcid.org/0000-0001-5396-3749"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]},{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB","GR"],"is_corresponding":false,"raw_author_name":"Paul G. Spirakis","raw_affiliation_strings":["Computer Engineering and Informatics Department, University of Patras, Patras, Greece","Department of Computer Science, University of Liverpool, Liverpool, UK"],"affiliations":[{"raw_affiliation_string":"Computer Engineering and Informatics Department, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048361071"],"corresponding_institution_ids":["https://openalex.org/I146655781","https://openalex.org/I2802641067"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9895,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78748632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"126","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9968000054359436,"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":0.9968000054359436,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/variety","display_name":"Variety (cybernetics)","score":0.5432764887809753},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5223285555839539},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49555838108062744},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4716868996620178},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4594391882419586},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3328290581703186},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2630431056022644}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5432764887809753},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5223285555839539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49555838108062744},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4716868996620178},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4594391882419586},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3328290581703186},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2630431056022644},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-04612-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-04612-5_9","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:mediatum.ub.tum.de:node/1543344","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1543344","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4000000059604645}],"awards":[{"id":"https://openalex.org/G6979527396","display_name":null,"funder_award_id":"EP/P02002X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7815803692","display_name":null,"funder_award_id":"EP/P020909/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W207463452","https://openalex.org/W1518832340","https://openalex.org/W1582253182","https://openalex.org/W1941744740","https://openalex.org/W1966861855","https://openalex.org/W2013815105","https://openalex.org/W2032716871","https://openalex.org/W2067754486","https://openalex.org/W2069488552","https://openalex.org/W2079705627","https://openalex.org/W2104892205","https://openalex.org/W2106875569","https://openalex.org/W2114467398","https://openalex.org/W2114650657","https://openalex.org/W2131967794","https://openalex.org/W2200725028","https://openalex.org/W2240016676","https://openalex.org/W2268333399","https://openalex.org/W2284193075","https://openalex.org/W2292587149","https://openalex.org/W2296078827","https://openalex.org/W2301555989","https://openalex.org/W2320618127","https://openalex.org/W2399001773","https://openalex.org/W2399884099","https://openalex.org/W2575731723","https://openalex.org/W2604467574","https://openalex.org/W2612502501","https://openalex.org/W2790462119","https://openalex.org/W2806555090","https://openalex.org/W2894903419","https://openalex.org/W4254547512"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W2565703248","https://openalex.org/W187246281","https://openalex.org/W2143548620"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}