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Single Exponential Path Finding in Semi-algebraic Sets, Part II: The General Case

In: Algebraic Geometry and its Applications

Author

Listed:
  • Joos Heintz
  • Marie-Francoise Roy
  • Pablo Solerno

Abstract

This paper is devoted to the following result. Let S be a semi-algebraic subset of R n ; one can decide in single exponential time whether two points of S belong to the same semi-algebraically connected component of S, and if they do, one can find a semi-algebraic path connecting them. This paper is the sequel to [HRS 4] in which the result is proved in the particular but fundamental case of a bounded regular hypersurface.

Suggested Citation

  • Joos Heintz & Marie-Francoise Roy & Pablo Solerno, 1994. "Single Exponential Path Finding in Semi-algebraic Sets, Part II: The General Case," Springer Books, in: Chandrajit L. Bajaj (ed.), Algebraic Geometry and its Applications, chapter 28, pages 449-465, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2628-4_28
    DOI: 10.1007/978-1-4612-2628-4_28
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