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Efficient algorithm for computing the Euler-Poincaré characteristic of a semi-algebraic set defined by few quadratic inequalities

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Publication:862342
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DOI10.1007/s00037-006-0214-5zbMath1103.14032OpenAlexW1988648010MaRDI QIDQ862342

Saugata Basu

Publication date: 24 January 2007

Published in: Computational Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00037-006-0214-5



Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Semialgebraic sets and related spaces (14P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Topology of real algebraic varieties (14P25)


Related Items (4)

A sharper estimate on the Betti numbers of sets defined by quadratic inequalities ⋮ On projections of semi-algebraic sets defined by few quadratic inequalities ⋮ Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials ⋮ A complexity theory of constructible functions and sheaves




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