Approximating the volume of unions and intersections of high-dimensional geometric objects-Reference-Cited by-同舟云学术

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Approximating the volume of unions and intersections of high-dimensional geometric objects

Published:2010-08 Issue:6-7 Volume:43 Page:601-610
ISSN:0925-7721
Container-title:Computational Geometry
language:en
Short-container-title:Computational Geometry

Author:

Bringmann Karl,Friedrich Tobias

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Control and Optimization,Geometry and Topology,Computer Science Applications

Reference30 articles.

1. P.K. Agarwal, H. Kaplan, M. Sharir, Computing the volume of the union of cubes, in: Proc. 23rd Annual Symposium on Computational Geometry (SoCG '07), 2007, pp. 294–301

2. D. Applegate, R. Kannan, Sampling and integration of near log-concave functions, in: Proc. 23rd Annual ACM Symposium on Theory of Computing (STOC '91), 1991, pp. 156–163

3. A. Bandyopadhyay, D. Gamarnik, Counting without sampling: new algorithms for enumeration problems using statistical physics, in: Proc. 17th Annual ACM–SIAM Symposium on Discrete Algorithms (SODA '06), 2006, pp. 890–899

4. Computing the volume is difficult;Bárány;Discrete Comput. Geom.,1987

5. M. Bayati, D. Gamarnik, D.A. Katz, C. Nair, P. Tetali, Simple deterministic approximation algorithms for counting matchings, in: Proc. 39th Annual ACM Symposium on Theory of Computing (STOC '07), 2007, pp. 122–127

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