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Diagonals: Part I

Feature Column Archive

6. References

Aggarwal, A., The art gallery theorem: its variations, applications and algorithmic aspects, Ph.D. Thesis, Johns Hopkins University, Baltimore, 1984.

Aggarwal, A., and S. Suri, Computing the longest diagonal of a simple polygon, Inform. Process. Lett., 35 (1990) 13-18.

Bjorling-Sachs, I., Tight bound for edge guards in rectilinear monotone polygons, DIMACS Tech. Report, 93-12, Rutgers University, 1993.

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Chin, W-P. and S. Ntafos, Shortest watchman routes in simple polygons, Discrete Comut. Geom., 6 (1991) 9-31.

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De Berg, M. and M. van Kreveld, M. Overmans, O. Schwarzkopf, Polygon Triangulation: Guarding an Art Gallery, Chapter 3, in Computational Geometry: Algorithms and Applications, 2nd. rev. ed., Springer-Verlag, Berlin, 2000.

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Estivill-Castro, V. and J. O'Rourke, J. Urrutia, D. Xu, Illumination of polygons with vertex floodlights, Inform. Process. Lett., 56 (1995) 9-13.

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Computational Geometry, 23 (2000) 73-110.

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Ghosh, S., Approximation algorithms for art gallery problems, Proc. Canadian Inform. Process. Soc. Congress, 1987.

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The Association for Computing Machines via its special interest groups for Graphics and Algorithms and Computation Theory sponsors an annual meeting on Computational Geometry. The proceedings of this conference has been published every year since the first conference was held in 1985. Papers in these volumes can be accessed via the ACM Portal.

Those who can access JSTOR can find some of the papers mentioned above there. For those with access, the American Mathematical Society's MathSciNet can be used to get additional bibliographic information and reviews of some these materials.

  1. Introduction
  2. What is a diagonal?
  3. Triangulations and ears
  4. Art gallery theorems
  5. Where do new problems come from?
  6. References