Publications

- Articles
- Refereed publications in a book
- Refereed conference publications
- Articles on Triangle algorithm
- Technical reports under review or to be submitted
- 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.*