{"id":"https://openalex.org/W1989224068","doi":"https://doi.org/10.1007/s10472-006-9041-2","title":"An explicit semidefinite characterization of satisfiability for Tseitin instances on toroidal grid graphs","display_name":"An explicit semidefinite characterization of satisfiability for Tseitin instances on toroidal grid graphs","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W1989224068","doi":"https://doi.org/10.1007/s10472-006-9041-2","mag":"1989224068"},"language":"en","primary_location":{"id":"doi:10.1007/s10472-006-9041-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-006-9041-2","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","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/A5005540131","display_name":"Miguel F. Anjos","orcid":"https://orcid.org/0000-0002-8258-9116"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Miguel F. Anjos","raw_affiliation_strings":["Department of Management Sciences, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","Department of Management Sciences, University of Waterloo, Waterloo, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Department of Management Sciences, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Management Sciences, University of Waterloo, Waterloo, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005540131"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.338,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59009432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"1-2","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9990000128746033,"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/T10142","display_name":"Formal Methods in Verification","score":0.9990000128746033,"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":0.9970999956130981,"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":0.9911999702453613,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.8335956931114197},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.8083429336547852},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.6948205828666687},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6063896417617798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5875898003578186},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49703624844551086},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4533580541610718},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4253949522972107},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4168882369995117},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32869166135787964},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3217804431915283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27033066749572754},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.2694975435733795},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24203014373779297},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.10014799237251282}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8335956931114197},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.8083429336547852},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.6948205828666687},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6063896417617798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5875898003578186},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49703624844551086},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4533580541610718},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4253949522972107},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4168882369995117},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32869166135787964},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3217804431915283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27033066749572754},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.2694975435733795},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24203014373779297},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.10014799237251282},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10472-006-9041-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-006-9041-2","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:38301","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/38301/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1505281405","https://openalex.org/W1518383689","https://openalex.org/W1520007244","https://openalex.org/W1532925583","https://openalex.org/W1540352354","https://openalex.org/W1552492078","https://openalex.org/W1558129180","https://openalex.org/W1562502650","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1970193303","https://openalex.org/W1974563688","https://openalex.org/W1985123706","https://openalex.org/W1993746545","https://openalex.org/W1997672673","https://openalex.org/W2009683816","https://openalex.org/W2012805418","https://openalex.org/W2022749269","https://openalex.org/W2023710022","https://openalex.org/W2046371296","https://openalex.org/W2049143039","https://openalex.org/W2072545857","https://openalex.org/W2074116126","https://openalex.org/W2076535438","https://openalex.org/W2078561631","https://openalex.org/W2089028944","https://openalex.org/W2092931458","https://openalex.org/W2106264302","https://openalex.org/W2125448650","https://openalex.org/W2133392939","https://openalex.org/W2133527541","https://openalex.org/W2136811867","https://openalex.org/W2210840110","https://openalex.org/W2323554188","https://openalex.org/W2480634980","https://openalex.org/W2495457432","https://openalex.org/W4245630182","https://openalex.org/W6723659458"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2288891047","https://openalex.org/W2524928742","https://openalex.org/W2362452378","https://openalex.org/W2353517195","https://openalex.org/W3166939022","https://openalex.org/W1727084346","https://openalex.org/W2544939111","https://openalex.org/W2386048074","https://openalex.org/W2012205236"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
