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Bahman Kalantari
Publications

  1. Articles
  2. Refereed publications in a book
  3. Refereed conference publications
  4. Articles on Triangle algorithm
  5. Technical reports under review or to be submitted
  6. Guest Editor

Articles

`Three Convex Hull Theorems On Triangles and Circles'
To appear in Honam Mathematical Journal (Korean), 2014, Bahman Kalantari and Jong Youll Park.

`A Characterization Algorithm and An Algorithm for A Convex Hull Problem'
Annals of operations Research, available online since August 2014, Bahman Kalantari.

`The Fundamental Theorem of Algebra for Artists'
Math Horizons, 2013, 26-29, Bahman Kalantari and Bruce Torrence.

`Algorithms for quaternion polynomial root-finding'
Journal of Complexity, Volume 29, Issues 3–4, June–August 2013, 302-322, Bahman Kalantari.

`A Geometric Modulus Principle for Polynomials'
The American Mathematical Monthly, December 2011. Volume 118, No 10, (2011) 931-935, B. Kalantari.

`Alternating sign matrices and polynomiography'
The Electronic Journal of Combinatorics, Volume 18, No 2 (2011), # 24, B. Kalantari.

`Polynomial Root-Finding Methods Whose Basins of Attraction Approximate Voronoi Diagram'
Discrete & Computational Geometry, Volume 46, No 1 (2011) pp 187-203, B. Kalantari.

Refereed publications in a book

`Polynomiography and Innovation (invited article)'
In Encyclopedia of Creativity, Invention, Innovation, and Entrepreneurship, Volume 1, Springer, 2013, B. Kalantari.

`The fundamental theorem of algebra for artists'
Previously published in Math Horizons was selected for publication in, The Best Writing on Mathematics, 2014, Princeton University Press, B. Kalantari and Bruce Torrence.

Refereed conference publications

"Maximal Zone Diagrams and Their Computation`
Proceedings of the Seventh Annual International Symposium on Voronoi Diagrams in Science and Engineering (2010), pp. 171--180, S. C. de Biasi, B. Kalantari, I. Kalantari.

"Voronoi Diagrams and Polynomial Root-Finding"
Proceedings of the Sixth annual International Symposium on Voronoi Diagrams in Science and Engineering (2009), pp. 31-40, B. Kalantari

"Mollified Zone Diagrams and Their Computation"
In LNCS Transactions on Computational Science XIV, pp. 31-59, 2011, S. C. de Biasi, B. Kalantari, I. Kalantari.

"On properties of Forbidden Zone of Polygons and Polytopes"
Proceedings of the Ninth annual International Symposium on Voronoi Diagrams in Science and Engineering (2012), B. Kalantari with Ross Berkowitz, D. Menendez, I. Kalantari.

"Voronoi Diagram Properties in Polynomials with Polynomiography Applications and Extensions
Proceedings of the Ninth annual International Symposium on Voronoi Diagrams in Science and Engineering (2012), B. Kalantari.

"Finding a Lost Treasure in Convex Hull of Points From Known Distances"
Proceedings of the 24th Canadian Conference on Computational Geometry (2012), B. Kalantari.

"Polynomiography and Chaos"
In Chaos and Complex Systems, Proceedings of the 4th International Interdisciplinary Chaos Symposium, Springer Complexity series, (2013), 541-550, B. Kalantari.

"A Characterization Theorem and An Algorithm for a Convex Hull Problem, 2-page Extended Abstract" 22nd Annual Fall Workshop on Computational Geometry, University of Maryland, 2012. B. Kalantari.

"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, B. Kalantari and M. Saks.

"Experimental Study of the Convex Hull Decision Problem via a New Geometric Algorithm, 2-page Extended Abstract"
23nd Annual Fall Workshop on Computational Geometry, City College of New York, 2013, M. Li and B. Kalantari.

"Experiments with the Triangle Algorithm for Linear Systems, 2-page Extended Abstract"
23nd Annual Fall Workshop on Computational Geometry, City College of New York, 2013, T. Gibson and B. Kalantari.

"Randomized triangle algorithms for convex hull membership, 2-page Extended Abstract"
24th Annual Fall Workshop on Computational Geometry, Connecticut, 2014. (full version)

"Fast Approximation and Randomized Algorithms for Diameter, 2014, 2-page Extended Abstract"
24th Annual Fall Workshop on Computational Geometry, Connecticut, 2014, (full version), with Sharareh Alipour and Hamid Homapour.

Articles on triangle algorithm

"A Characterization Algorithm and An Algorithm for A Convex Hull Problem"
Annals of operations Research, available online since August 2014, Bahman Kalantari.

"Finding a Lost Treasure in Convex Hull of Points From Known Distances"
Proceedings of the 24th Canadian Conference on Computational Geometry (2012), B. Kalantari.

"Experimental Study of the Convex Hull Decision Problem via a New Geometric Algorithm, 2-page Extended Abstract"
23nd Annual Fall Workshop on Computational Geometry, City College of New York, 2013, M. Li and B. Kalantari.

"Experiments with the Triangle Algorithm for Linear Systems,'' 2-page Extended Abstract"
23nd Annual Fall Workshop on Computational Geometry, City College of New York, 2013, T. Gibson and B. Kalantari.

"Randomized triangle algorithms for convex hull membership, 2-page Extended Abstract"
24th Annual Fall Workshop on Computational Geometry, Connecticut, 2014. (full version)

An Algorithmic Separating Hyperplane Theorem and Its Application
2014, link, submitted for publication, Bahman Kalantari.

Technical reports under review or to be submitted

"Solving Cubic Equations by the Quadratic Formula"
submitted for publication, 2011, Bahman Kalantari.

"A One-Line Proof of the Fundamental Theorem of Algebra"
submitted for publication, 2011, Bahman Kalantari. link

"Solving Linear System of Equations Via A Convex Hull Algorithm"
2012, link, to be submitted for publication, Bahman Kalantari.

"Algorithms and Polynomiography for Solving Quaternion Quadratic Equations"
2014, link, with Fedor Andreev and Bahman Kalantari.

"Newton-Ellipsoid Method and its Polynomiography"
link, Bahman Kalantari and Eric Lee

Guest Editor

"Transactions on Computational Science XX, Special Issue on Voronoi Diagrams and Their Applications"
LNCS (Lecture Notes in Computer Science), Springer, 2013.

Copyright © 2011 Bahman Kalantari All Rights Reserved Polynomiography™