Honam Mathematical Journal (호남수학학술지)
- Volume 36 Issue 4
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- Pages.787-794
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- 2014
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- 1225-293X(pISSN)
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- 2288-6176(eISSN)
DOI QR Code
THREE CONVEX HULL THEOREMS ON TRIANGLES AND CIRCLES
- Kalantari, Bahman (Department of Computer Science, Rutgers University) ;
- Park, Jong Youll (Department of Mathematics, Chonnam National University)
- Received : 2014.09.15
- Accepted : 2014.09.30
- Published : 2014.12.25
Abstract
We prove three convex hull theorems on triangles and circles. Given a triangle
Keywords
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References
- B. Kalantari, A characterization theorem and an algorithm for a convex hull problem, to appear in Annals of Operations Research, available online August, 2014. arxiv.org/pdf/1204.1873v2.pdf, and http://arxiv-web3.library.cornell.edu/pdf/1204.1873v4.pdf, 2012. To appear in Annals of Op erations Research, 2014.
- B. Kalantari, Finding a lost treasure in convex hull of points from known distances, In the Proceedings of the 24th Canadian Conference on Computational Geometry (2012), 271-276.
- B. Kalantari, Solving linear system of equations via a convex hull algorithm, arxiv.org/pdf/1210.7858v1.pdf, 2012.
- B. Kalantari and M. Saks, On the Triangle Algorithm for the Convex Hull Membership, 2-page Extended Abstract, 23nd Annual Fall Workshop on Computational Geometry, City College of New York, 2013.
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- R. Johnson, A circle theorem, Amer. Math. Monthly 23 (1916), 161-162. https://doi.org/10.2307/2974356