Adjacency Algorithms for Cylindrical Algebraic Decompositions of Three and Higher Dimensional Space I: Adjacencies over a Non-nullifying F0,1g Adjacency
نویسنده
چکیده
Let A be a set of trivariate irreducible integral polynomials and let D be an A-invariant cylindrical algebraic decomposition (cad) of three-dimensional space. This paper presents a new algorithm for determining the interstack adjacencies in D over a given non-nullifying (for A) 0-cell, 1-cell adjacency in the cad D 0 of the plane induced by D. We show that this new adjacency algorithm for three-dimensional space can be extended to four-dimensional space.
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