Publications in Computational Geometry Journals

Finding Optimal Geodesic Bridges Between Two Simple Polygons ( with A. Bhosle), submitted for possible journal publication.

Approximating Corridors and Tours via Restriction and Relaxation Techniques, (with A. Gonzalez), ACM Transactions on Algorithms, (to appear).

Interconnecting Rectangular Areas by Corridors and Tours (with A. Gonzalez), Proceedings of the SIEEEM, Monterrey, Oct. 2008.

Approximation Algorithms for the Minimum-Length Corridor and Related Problems, (with A. Gonzalez), Proceedings of the 19th Canadian Conference on Computational Geometry, pp. 253-256, 2007.

Complexity of the Minimum-Length Corridor Problem, (with A. Gonzalez), Journal of Computational Geometry: Theory and Applications, Vol. 37, No. 2, pp. 72 -- 103, 2007.

Minimum Edge Length Rectangular Partitions, (with S. Q. Zheng), Handbook of Approximation Algorithms and Metaheuristics, Ed. T. F. Gonzalez, Chapter 54, Part V, Chapman & Hall / CRC, May 2007.

Exact and Approximation Algorithms for finding the Optimal Bridge Connecting Two Simple Polygons, (with A. M. Bhosle), International Journal on Computational Geometry and Applications, Vol 15, No. 6, pp. 609 - 630, Dec. 2005.

Balanced Min and Max Cuts Under the Triangle Inequality, (with T. Murayama), UCSB Department of Computer Science, Technical Report TRCS--98--24, October 1998.

A Computationally Intractable Problem on Simplicial Complexes, (with O. Egecioglu), Computational Geometry: Theory and Applications, Vol. 6, No. 2, 1996, pp. 85 -- 98.

On Optimal Guillotine Partitions Approximating Optimal d-Box Partitions, (with M. Razzazi, M. Shing and S. Q. Zheng), Computational Geometry: Theory and Applications, Vol. 4, No. 1, 1994, 1 -- 11.

A Computationally Intractable Problem of Simplicial Complexes, (with O. Egecioglu), 6th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC/SFCA '94), DIMACS, May 1994. Also in Seventh SIAM Conference on Discrete Mathematics, Albuquerque NM, June 22--25, 1994.

An Efficient Divide--and--Conquer Approximation Algorithm for Partitioning D--Boxes, (with M. Razzazi, and S. Q. Zheng), International Journal on Computational Geometry and Applications, Vol. 3, No. 4, 1993, 417 -- 428.

Algorithms for a Class of Min--Cut and Max--Cut Problems, (with T. Murayama), Proceedings of the Third Annual International Symposium on Algorithms and Computation, Lecture Notes in Computer Science #650, Springer--Verlag, December 1992, pp. 97 -- 105.

Covering a Set of Points in Multidimensional Space, Information Processing Letters, Vol. 40, 1991, 181 -- 188.

An Approximation Algorithm for Partitioning a Hyperrectilinear Polytope with Holes, (with M. Razzazi), Proceedings of the Third Canadian Conference on Computational Geometry, August 1991, pp. 183 -- 186.

Properties and Algorithms for Constrained Delaunay Triangulations, (with M. Razzazi), Proceedings of the Third Canadian Conference on Computational Geometry, August 1991, pp. 114 -- 117.

On the Generalized Channel Definition Problem, (with M. Razzazi), Proceedings of the GLS--VLSI '91 Conference, March 1991, pp. 88 -- 91.

Approximation Algorithms for Covering with Fixed Size Hypersquares and Related Problems, Proceedings of the 29th Annual Allerton Conference on Communications, Control and Computing, October 1990, pp. 838 -- 847.

An Efficient Divide--and--Conquer Approximation Algorithm for Hyperrectangular Partitions, (with M. Razzazi and S. Q. Zheng), Proceedings of the Second Canadian Conference on Computational Geometry, August 1990, pp. 214 -- 217.

Approximation Algorithms for Partitioning Rectilinear Polygons with Interior Points, (with S. Q. Zheng), Algorithmica, Vol. 5, January 1990, pp. 11 -- 42.

XXVLSI An Approximation Algorithm for Partitioning a Hyperrectilinear Polygon with Holes, (with M. Razzazi), UCSB Technical Report TRCS 90--23, November, 1990.

Improved Bounds for Rectangular and Guillotine Partitions, (with S. Q. Zheng), Journal of Symbolic Computation, Vol. 7, 1989, pp. 591 -- 610.

Properties and Algorithms for Constrained Delaunay Triangulations, (with M. Razzazi), UCSB Technical Report #TRCS 89--32, November 1989.

Improved Bounds for Rectangular and Guillotine Partitions, (with S. Q. Zheng), Proceedings of the 24th Annual Allerton Conference on Communication, Control and Computing, October 1986, pp. 334 -- 343.

Clustering to Minimize the Maximum Inter--Cluster Distance, Journal of Theoretical Computer Science, No. 38, October 1985, pp. 293 -- 306.

Bounds for Partitioning Rectilinear Polygons, (with S. Q. Zheng), Proceedings of the Computational Geometry Conference, June 1985, pp. 281 -- 287.

On the Computational Complexity of Clustering and Related Problems, Systems Modeling and Optimization, Proceedings of the 10th IFIP Conference on Systems Modeling and Optimization, Lecture Notes in Control and Information Sciences #38, Springer--Verlag, August 1981, pp. 174 -- 182.