Currently under review
-
Minimum ply covering of points with convex shapes
A. Biniaz and Z. Lin
-
Euclidean bottleneck bounded-degree spanning tree ratios
A. Biniaz
-
A short proof of the toughness of Delaunay triangulations
A. Biniaz
-
Minimum ply covering of points with discs and squares
T. Biedl, A. Biniaz, and A. Lubiw
-
On the minimum consistent subset problem
A. Biniaz, S. Cabello, A. Maheshwari, P. Carmi, S. Mehrabi, J.-L. De Carufel, M. Smid
-
Token Swapping on Trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A. Murty Naredla, J. Tkadlec, and A. Turcotte
-
Faster algorithms for some optimization problems on collinear points
A. Biniaz, P. Bose, P. Carmi, A. Maheshwari, I. Munro, and M.Smid
Journal Papers
-
Plane hop spanners for unit disk graphs: simpler and better
A. Biniaz
Computational Geometry: Theory and Applications, 89, 2020.
Special issue of WADS 2019.
-
Plane and planarity thresholds for random geometric graphs
A. Biniaz, E. Kranakis, A. Maheshwari, and M. Smid
Discrete Mathematics, Algorithms and Applications, 12(1): 2050005:1-2050005:21, 2020.
-
Packing plane spanning trees into a point set
A. Biniaz and A. García
Accepted to Computational Geometry: Theory and Applications.
Special issue of CCCG’18.
-
Rollercoasters: long sequences without short runs
T. Biedl, A. Biniaz, R. Cummings, A. Lubiw, F. Manea, D. Nowotka, J. Shallit
SIAM Journal on Discrete Mathematics, 33(2): 845–861, 2019.
-
Packing boundary-anchored rectangles and squares
T. Biedl, A. Biniaz, A. Maheshwari, and S. Mehrabi
Computational Geometry: Theory and Applications, 88, 2020.
Special issue of CCCG’17.
-
Maximum plane trees in multipartite geometric graphs
A. Biniaz, P. Bose, K. Crosbie, J.-L. De Carufel, D. Eppstein, A. Maheshwari, and M. Smid
Algorithmica 81(4): 1512-1534, 2019.
-
Bottleneck matchings and Hamiltonian cycles in higher-order Gabriel graphs
A. Biniaz, A. Maheshwari, and M. Smid
Information Processing Letters, 153:2020.
-
Flip distance to some plane configurations
A. Biniaz, A. Maheshwari, M. Smid
Computational Geometry: Theory and Applications, 81: 12-21, 2019.
-
Improved bounds for guarding plane graphs with edges
A. Biniaz, P. Bose, A. Ooms, S. Verdonschot
Graphs and Combinatorics, 35(2): 437-450, 2019.
-
Spanning trees in multipartite geometric graphs
A. Biniaz, P. Bose, D. Eppstein, A. Maheshwari, P. Morin, and M. Smid
Algorithmica, 80(11): 3177-3191, 2018.
-
Plane bichromatic trees of low degree
A. Biniaz, P. Bose, A. Maheshwari, and M. Smid
Discrete & Computational Geometry, 59(4): 864–885, 2018.
-
Strong matching of points with geometric shapes
A. Biniaz, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 68: 186-205, 2018.
Special issue in memory of Dr. Ferran Hurtado.
-
Faster algorithms for the minimum red-blue-purple spanning graph problem
A. Biniaz, P. Bose, I. van Duijn, A. Maheshwari, and M. Smid
Journal of Graph Algorithms and Applications, 21(4): 527-546, 2017.
-
Towards plane spanners of degree 3
A. Biniaz, P. Bose, J.-L. De Carufel, C. Gavoille, A. Maheshwari, and M. Smid
Journal of Computational Geometry, 8(1): 11-31, 2017.
-
An optimal algorithm for plane matchings in multipartite geometric graphs
A. Biniaz, A. Maheshwari, S. C. Nandy, and M. Smid
Computational Geometry: Theory and Applications, 63: 1-9, 2017.
-
Approximation algorithms for the unit disk cover problem in 2D and 3D
A. Biniaz, P. Liu, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 60: 8–18, 2017.
Special issue of CCCG'15.
-
A plane 1.88-spanner for points in convex position
M. Amani, A. Biniaz, P. Bose, J.-L. De Carufel, A. Maheshwari, and M. Smid
Journal of Computational Geometry, 7(1): 520–539, 2016.
-
Plane geodesic spanning trees, Hamiltonian cycles, and perfect matchings in a simple polygon
A. Biniaz, P. Bose, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 57: 27–39, 2016.
-
Packing plane perfect matchings into a point set
A. Biniaz, P. Bose, A. Maheshwari, and M. Smid
Discrete Mathematics and Theoretical Computer Science, 17(2): 119–142, 2015.
-
Higher-order triangular-distance Delaunay graphs: graph-theoretical properties
A. Biniaz, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 48(9): 646–660, 2015.
-
Matchings in higher-order Gabriel graphs
A. Biniaz, A. Maheshwari, and M. Smid
Theoretical Computer Science, 596: 67–78, 2015.
-
On the hardness of the full Steiner tree problems
A. Biniaz, A. Maheshwari, and M. Smid
Journal of Discrete Algorithms, 34: 118–127, 2015.
-
Approximating the bottleneck plane perfect matching of a point set
K. Abu-Affash, A. Biniaz, P. Carmi, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 48(9): 718–731, 2015.
-
On full Steiner trees in unit disk graphs
A. Biniaz, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 48(6): 453–458, 2015.
-
Fixed-orientation equilateral triangle matching of point sets
J. Babu, A. Biniaz, A. Maheshwari, and M. Smid
Theoretical Computer Science, 555: 55-70, 2014.
Special issue of WALCOM'13.
-
An optimal algorithm for the Euclidean bottleneck full Steiner tree problem
A. Biniaz, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 47(3):377-380, 2014.
Conference Papers
-
Bounded-angle minimum spanning trees.
A. Biniaz, P. Bose, , A. Lubiw, and A. Maheshwari
To appear in the 17th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT'20), 2020.
-
Euclidean bottleneck bounded-degree spanning tree ratios
A. Biniaz
In Proceedings of the 30th ACM-SIAM Symposium on Discrete Algorithms (SODA'20), pages 826-836, 2020.
-
A short proof of the toughness of Delaunay triangulations
A. Biniaz
In Proceedings of the 3rd ACM-SIAM Symposium on Simplicity in Algorithms (SOSA'20), pages 43-46, 2020.
-
Plane hop spanners for unit disk graphs
A. Biniaz
In Proceedings of the 16th International Symposium on Algorithms and Data Structures (WADS'19), pages 140–151, 2019.
-
On the minimum consistent subset problem
A. Biniaz, S. Cabello, A. Maheshwari, P. Carmi, S. Mehrabi, J.-L. De Carufel, and M. Smid
In Proceedings of the 16th International Symposium on Algorithms and Data Structures (WADS'19), pages 155–167, 2019.
-
Minimum ply covering of points with discs and squares
T. Biedl, A. Biniaz, and A. Lubiw
In Proceedings of the 31sth Canadian Conference in Computational Geometry (CCCG'19), pages 226–235, 2019.
-
Three-coloring three-dimensional uniform hypergraphs
A. Biniaz, P. Bose, J. Cardinal, and M. Payne
In Proceedings of the 31sth Canadian Conference in Computational Geometry (CCCG'19), pages 23–28, 2019.
-
Maximum matchings and minimum blocking sets in Theta-6 graphs
T. Biedl, A. Biniaz, V. Irvine, K. Jain, P. Kindermann, and A. Lubiw
In Proceedings of the the 45th International Workshop on Graph-Theoretic Concepts in Computer Science (WG'19), pages 258–270, 2019.
Also appeared in EuroCG 2019.
-
Rollercoasters and caterpillars
T. Biedl, A. Biniaz, R. Cummings, A. Lubiw, F. Manea, D. Nowotka, and J. Shallit
In Proceedings of the 45th International Colloquium on Automata, Languages, and Programming (ICALP’18), 18:1-18:15, 2018.
Also in the 34th European Workshop on Computational Geometry (EuroCG’18), under the name Rollercoasters: long sequences without short runs
-
Improved bounds for guarding plane graphs with edges
A. Biniaz, P. Bose, A. Ooms, and S. Verdonschot
In Proceedings of the 16th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT’18), 14:1-14:12, 2018.
-
Flip distance to some plane configurations
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 16th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT’18), 11:1-11:14, 2018.
-
On the size of outer-string representations
T. Biedl, A. Biniaz, and M. Derka
In Proceedings of the 16th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT’18), 10:1-10:14, 2018.
-
Faster algorithms for some optimization problems on collinear points
A. Biniaz, P. Bose, P. Carmi, A. Maheshwari, I. Munro, and M.Smid
In Proceedings of the 34th International Symposium on Computational Geometry (SoCG’18), 8:1-8:14, 2018.
-
Packing plane spanning trees into a point set
A. Biniaz and A. García
In Proceedings of the 30th Canadian Conference in Computational Geometry (CCCG’18), 49-53, 2018.
-
Compatible 4-holes in point sets
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 30th Canadian Conference in Computational Geometry (CCCG’18), 346-352, 2018.
-
Integral unit bar-visibility graphs
T. Biedl, A. Biniaz, V. Irvine, P. Kindermann, A. M. Naredla, A. Turcotte
In Proceedings of the 30th Canadian Conference in Computational Geometry (CCCG’18), 230-246, 2018.
-
Compatible paths on labelled point sets
Y. Bahoo, A. Biniaz, P. Cano, F. Chanchary, J. Iacono, K. Jain, E. Khramtcova, A. Lubiw, D. Mondal, K. Sheikhan, C. D. Tóth
In Proceedings of the 30th Canadian Conference in Computational Geometry (CCCG’18), 54-60, 2018.
-
Packing boundary-anchored rectangles
T. Biedl, A. Biniaz, A. Maheshwari, and S. Mehrabi
In Proceedings of the 29th Canadian Conference on Computational Geometry (CCCG’17), 138-143, 2017.
-
Maximum plane trees in multipartite geometric graphs
A. Biniaz, P. Bose, K. Crosbie, J.-L. De Carufel, D. Eppstein, A. Maheshwari, and M. Smid
In Proceedings of the 15th International Symposium on Algorithms and Data Structures (WADS’17), 193-204, 2017.
-
Towards plane spanners of degree 3
A. Biniaz, P. Bose, A Maheshwari, J.-L. De Carufel, C. Gavoille, and M. Smid
In Proceedings of the 27th International Symposium on Algorithms and Computation (ISAAC’16), 19:1-19:14, 2016.
-
A faster algorithm for the minimum red-blue-purple spanning graph problem for points on a circle
A. Biniaz, P. Bose, I. van Duijn, A. Maheshwari, and M. Smid
In Proceedings of the 28th Canadian Conference on Computational Geometry (CCCG’16), 140-146, 2016.
-
Plane bichromatic trees of low degree
A. Biniaz, P. Bose, A. Maheshwari, and M. Smid
In Proceedings of the 27th International Workshop on Combinatorial Algorithms (IWOCA’16), 68-80, 2016.
-
A plane 1.88-spanner for points in convex position
M. Amani, A. Biniaz, P. Bose, J.-L. De Carufel, A. Maheshwari, and M. Smid
In Proceedings of the 15th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT’16), 25:1-25:14, 2016.
-
Bottleneck matchings and Hamiltonian cycles in higher-order Gabriel graphs
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 32nd European Workshop on Computational Geometry (EuroCG’16), 179-182, 2016.
-
Plane and planarity thresholds for random geometric graphs
A. Biniaz, E. Kranakis, A. Maheshwari, and M. Smid
In Proceedings of the 11th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS’15), Lecture Notes in Computer Science, Vol. 9536, Springer, pages 1–12, 2015.
-
Plane geodesic spanning trees, Hamiltonian cycles, and perfect matchings in a simple polygon
A. Biniaz, P. Bose, A. Maheshwari, and M. Smid
In Proceedings of the first International Conference on Topics in Theoretical Computer Science (TTCS’15), Lecture Notes in Computer Science, Vol. 9541, Springer, pages 56–71, 2016.
-
A faster 4-approximation algorithm for the unit disk cover problem
A. Biniaz, P. Liu, A. Maheshwari, and M. Smid
In Proceedings of the 27th Canadian Conference on Computational Geometry (CCCG’15), pages 262–267, 2015.
-
An optimal algorithm for plane matchings in multipartite geometric graphs
A. Biniaz, A. Maheshwari, S. C. Nandy, and M. Smid.
In Proceedings of the 14th Algorithms and Data Structures Symposium (WADS’15), Lecture Notes in Computer Science, Vol. 9214, Springer-Verlag, Berlin, pages 66–78, 2015.
-
Higher-order triangular-distance Delaunay graphs: graph-theoretical properties
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the first International Conference on Algorithms and Discrete Applied Mathematics (CALDAM'15), Lecture Notes in Computer Science, Vol. 8959, Springer, pages 89–100, 2015.
-
Approximating full Steiner tree in a unit disk graph
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 26th Canadian Conference in Computational Geometry (CCCG'14), pages 113-117, 2014.
-
Bottleneck bichromatic plane matching of points
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 26th Canadian Conference in Computational Geometry, (CCCG'14), pages 431-435, 2014.
-
Fixed-orientation equilateral triangle matching of point sets
J. Babu, A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 7th International Workshop on Algorithms and Computation (WALCOM'13), Lecture Notes in Computer Science, Vol. 7748, Springer-Verlag, Berlin, pages 17-28, 2013.
Thesis
-
Matchings in geometric graphs
A. Biniaz
PhD thesis, School of Computer Science, Carleton University, 2016.
-
Constrained higher order Delaunay triangulations
A. Biniaz
Master’s thesis, Computer Engineering Department, Shiraz University, 2007.