{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:18:43Z","timestamp":1760440723780},"reference-count":16,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[1988,2,1]],"date-time":"1988-02-01T00:00:00Z","timestamp":570672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":9298,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[1988,2]]},"DOI":"10.1016\/s0747-7171(88)80011-7","type":"journal-article","created":{"date-parts":[[2008,4,11]],"date-time":"2008-04-11T19:34:27Z","timestamp":1207942467000},"page":"163-187","source":"Crossref","is-referenced-by-count":21,"title":["An adjacency algorithm for cylindrical algebraic decompositions of three-dimenslonal space"],"prefix":"10.1016","volume":"5","author":[{"given":"Dennis S.","family":"Arnon","sequence":"first","affiliation":[]},{"given":"George E.","family":"Collins","sequence":"additional","affiliation":[]},{"given":"Scott","family":"McCallum","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/S0747-7171(88)80011-7_bib1","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1137\/0213054","article-title":"Cylindrical algebraic decomposition I: the basic Mgorlthm","volume":"13","author":"Arnon","year":"1984","journal-title":"SIAM J. Camp."},{"issue":"4","key":"10.1016\/S0747-7171(88)80011-7_bib2","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1137\/0213055","article-title":"Cylindrical algebraic decomposition II: an adjacency algorithm for the plane","volume":"13","author":"Arnon","year":"1984","journal-title":"SIAM J. Comp."},{"key":"10.1016\/S0747-7171(88)80011-7_bib3","first-page":"301","article-title":"A cellular decomposition algorithm for semi-algebralc sets","volume":"72","author":"Arnon","year":"1979","journal-title":"Proceedings of an InternationM Symposlum on Symbolic and Algebraic Manipulation (EUROSAM '79). Springer Lec. Notes Comp. Sci"},{"key":"10.1016\/S0747-7171(88)80011-7_bib4","series-title":"PhD thesis, Tech. Rept. #436","article-title":"Algorithms for the Geometry of Semi-Algebraic Sets","author":"Arnon","year":"1981"},{"key":"10.1016\/S0747-7171(88)80011-7_bib5","article-title":"A cluster-based cylindrical algebraic decomposition algorithm","volume":"5","author":"Arnon","year":"1988","journal-title":"J. Symb. Comp"},{"issue":"4","key":"10.1016\/S0747-7171(88)80011-7_bib6","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1145\/321662.321666","article-title":"The calculation of multivariate polynomial resultants","volume":"18","author":"Collins","year":"1971","journal-title":"J. Assoc. Comp. Mach."},{"key":"10.1016\/S0747-7171(88)80011-7_bib7","first-page":"515","article-title":"Quantifier elimination for real closed fields by cylindrical algebraic decomposition","volume":"33","author":"Collins","year":"1975","journal-title":"Proceedings of the Second GI Conference on Automata Theory and Formal Languages. Springer Lec. Notes Comp. Sci"},{"key":"10.1016\/S0747-7171(88)80011-7_bib8","series-title":"Computer Algebra - Symbolic and Algebraic Computation (Computing Supplementum 4)","first-page":"83","article-title":"Real zeros of polynomials","author":"Collins","year":"1982"},{"key":"10.1016\/S0747-7171(88)80011-7_bib9","series-title":"Compu\u00a3er Algebra - Symbolic and Algebraic Computation (Computing Supplementum 4)","first-page":"95","article-title":"Polynomial factorizatlon","author":"Kaltofen","year":"1982"},{"key":"10.1016\/S0747-7171(88)80011-7_bib10","first-page":"515","author":"Kozen","year":"1985","journal-title":"Algebraic cell decomposition in NC. Proe. IEEE Conf. on Foundations of Camp. Set. (FOCS)"},{"key":"10.1016\/S0747-7171(88)80011-7_bib11","series-title":"Homology and Cohomolooy Theory","author":"Massey","year":"1978"},{"key":"10.1016\/S0747-7171(88)80011-7_bib12","series-title":"MSe thesis, Math.","article-title":"Constructive Triangulation of Real Curves and Surfaces","author":"McCallum","year":"1979"},{"key":"10.1016\/S0747-7171(88)80011-7_bib13","article-title":"An improved projection operation for cylindrical algebraic decomposition of three-dimensional space","volume":"5","author":"McCallum","year":"1988","journal-title":"J. Symb. Camp."},{"key":"10.1016\/S0747-7171(88)80011-7_bib14","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1137\/0215069","article-title":"On approximation snd incidence in cylindrical Blgebralc decompositions","volume":"15","author":"Prill","year":"1986","journal-title":"SIAM J. Camp"},{"key":"10.1016\/S0747-7171(88)80011-7_bib15","first-page":"298","article-title":"On the \u2018piano movers\u2019 problem II","volume":"4","author":"Schwartz","year":"1983","journal-title":"General techniques for computing topological properties of real algebraic manifolds. Adv. Applied Math"},{"key":"10.1016\/S0747-7171(88)80011-7_bib16","series-title":"Algebraic Carves","author":"Walker","year":"1978"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717188800117?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717188800117?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,30]],"date-time":"2018-12-30T08:23:44Z","timestamp":1546158224000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0747717188800117"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,2]]},"references-count":16,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1988,2]]}},"alternative-id":["S0747717188800117"],"URL":"https:\/\/doi.org\/10.1016\/s0747-7171(88)80011-7","relation":{},"ISSN":["0747-7171"],"issn-type":[{"value":"0747-7171","type":"print"}],"subject":[],"published":{"date-parts":[[1988,2]]}}}