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cs.SC2026
On Minimum CADs for Algebraic Sets in Dimension Three
Lucas Michel
Cylindrical Algebraic Decomposition (CAD) algorithms typically produce a decomposition adapted to a finite family of semi-algebraic sets (i.e. every member of $\mathc…
math.AG2026
On some Exotic Cylindrical Algebraic Decompositions and Cells
Lucas Michel
Cylindrical Algebraic Decompositions (CADs) endowed with additional topological properties have found applications beyond their original logical setting, including algorithmic opti…
cs.SC2026
Further results on Minimal and Minimum Cylindrical Algebraic Decompositions
Lucas Michel, Pierre Mathonet, Naïm Zénaïdi
We consider cylindrical algebraic decompositions (CADs) as a tool for representing semi-algebraic subsets of . In this framework, a CAD is adapted to a…