On Minimal and Minimum Cylindrical Algebraic Decompositions

We consider cylindrical algebraic decompositions (CADs) as a tool for representing semi-algebraic subsets of \(\mathbb{R}^n\). In this framework, a CAD \(\mathscr{C}\) is adapted to a given set \(S\) if \(S\) is a union of cells of \(\mathscr{C}\). Different algorithms computing an adapted CAD may p...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Lucas, Michel, Mathonet, Pierre, Zénaïdi, Naïm
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 20.11.2024
Subjects:	Algebra Algorithms Decomposition Set theory
ISSN:	2331-8422
Online Access:	Get full text
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