Currently under review

The minimum consistent spanning subset problem on trees
A. Biniaz, P. Khamsepour

Linear time algorithms for stabbing pairwise intersecting disks
A. Biniaz, P. Bose, and Y. Wang
Submitted to Computational Geometry: Theory and Applications
Special issue of CCCG 2021
Journal Papers

Acute tours in the plane
A. Biniaz
Discrete & Computational Geometry (special issue dedicated to Eli Goodman), 2023. https://doi.org/10.1007/s00454023004860

Approximating longest spanning tree with neighborhoods
A. Biniaz
Journal of Computational Geometry, to appear, 2023.

The minimum moving spanning tree problem
H. Akitaya, A. Biniaz, P. Bose, J.L. De Carufel, A. Maheshwari, L. F. Schultz Xavier da Silveira and M. Smid.
Journal of Graph Algorithms and Applications, 27(1): 1–18, 2023.

Token Swapping on Trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A. Murty Naredla, J. Tkadlec, and A. Turcotte
Discrete Mathematics & Theoretical Computer Science, 24(2), 2022.

Approximating bottleneck spanning trees on partitioned tuples of points
A. Biniaz, A. Maheshwari, M. Smid
Computing in Geometry and Topology, 1(1), 3:1–3:18, 2022.

On the spanning and routing ratio of the directed Thetasix graph
H. Akitaya, A. Biniaz and P. Bose
Computational Geometry: Theory and Applications, 105106: 101881, 2022.
Special issue of WADS 2021.

Euclidean bottleneck boundeddegree spanning tree ratios
A. Biniaz
Discrete & Computational Geometry, 67(1): 311–327, 2022.

A short proof of the nonbiplanarity of K9
A. Biniaz.
Journal of Graph Algorithms and Applications, 26(1): 75–80, 2022.

Boundedangle minimum spanning trees
A. Biniaz, P. Bose, A. Lubiw, and A. Maheshwari
Algorithmica, 84(1): 150175, 2022.

Better approximation algorithms for the maximum weight internal spanning tree problem in cubic graphs and clawfree graphs
A. Biniaz
Journal of Graph Algorithms and Applications, 26(2): 209–224, 2022.
Special issue of WALCOM 2021.

A short proof of the toughness of Delaunay triangulations
A. Biniaz
Journal of Computational Geometry, 12(1): 35–39, 2021.

On the minimum consistent subset problem
A. Biniaz, S. Cabello, A. Maheshwari, P. Carmi, S. Mehrabi, J.L. De Carufel, M. Smid
Algorithmica, 83(7): 22732302, 2021.

Minimum ply covering of points with discs and squares
T. Biedl, A. Biniaz, and A. Lubiw
Computational Geometry: Theory and Applications, 94: 101712, 2021.
Special issue of CCCG 2019.

Faster algorithms for some optimization problems on collinear points
A. Biniaz, P. Bose, P. Carmi, A. Maheshwari, I. Munro, and M.Smid
Journal of Computational Geometry, 11(1): 418–432, 2020.

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): 2050005:12050005:21, 2020.

Packing plane spanning trees into a point set
A. Biniaz and A. García
Accepted to Computational Geometry: Theory and Applications, 90, 2020.
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 boundaryanchored 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): 15121534, 2019.

Bottleneck matchings and Hamiltonian cycles in higherorder 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: 1221, 2019.

Improved bounds for guarding plane graphs with edges
A. Biniaz, P. Bose, A. Ooms, S. Verdonschot
Graphs and Combinatorics, 35(2): 437450, 2019.

Spanning trees in multipartite geometric graphs
A. Biniaz, P. Bose, D. Eppstein, A. Maheshwari, P. Morin, and M. Smid
Algorithmica, 80(11): 31773191, 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: 186205, 2018.
Special issue in memory of Dr. Ferran Hurtado.

Faster algorithms for the minimum redbluepurple spanning graph problem
A. Biniaz, P. Bose, I. van Duijn, A. Maheshwari, and M. Smid
Journal of Graph Algorithms and Applications, 21(4): 527546, 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): 1131, 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: 19, 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 1.88spanner 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.

Higherorder triangulardistance Delaunay graphs: graphtheoretical properties
A. Biniaz, A. Maheshwari, and M. Smid
Computational Geometry: Theory and Applications, 48(9): 646–660, 2015.

Matchings in higherorder 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. AbuAffash, 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.

Fixedorientation equilateral triangle matching of point sets
J. Babu, A. Biniaz, A. Maheshwari, and M. Smid
Theoretical Computer Science, 555: 5570, 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):377380, 2014.
Conference Papers

Improved bounds for covering paths and trees in the plane
A. Biniaz
Accepted to the 39th International Symposium on Computational Geometry (SoCG), 2023.

Acute tours in the plane
A. Biniaz
In proceedings of the 38th International Symposium on Computational Geometry (SoCG), pages 16:116:8, 2022.

Piercing pairwise intersecting convex shapes in the plane
S. Bazargani, A. Biniaz and P. Bose
In proceedings of the 15th Latin American Theoretical Informatics Symposium (LATIN), pages: 679–695, 2022.

A 10approximation of the π/2MST
A. Biniaz, M. Daliri, A. H. Moradpour
In proceedings of the 39th International Symposium on Theoretical Aspects of Computer Science (STACS), pages 13:113:15, 2022.

A 13/9approximation of the average 2π/3MST
A. Biniaz, P. Bose, P. Devaney
In proceedings of the 34th Canadian Conference on Computational Geometry (CCCG), 55–59, 2022.

Approximating longest spanning tree with neighborhoods
A. Biniaz
In Proceedings of the 32nd International Symposium on Algorithms and Computation (ISAAC), 2021.

A short proof of the nonbiplanarity of K9
A. Biniaz
In Proceedings of the 29th International Symposium on Graph Drawing and Network Visualization (GD), pages 101106, 2021.

Euclidean maximum matchings in the planelocal to global.
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 17th International Symposium on Algorithms and Data Structures (WADS), pages 186199, 2021.

On the spanning and routing ratio of the directed Thetasix graph.
H. Akitaya, A. Biniaz and P. Bose
In Proceedings of the 17th International Symposium on Algorithms and Data Structures (WADS), pages 114, 2021.
Also appeared in ICCG’21.

The minimum moving spanning tree problem.
H. Akitaya, A. Biniaz, P. Bose, J.L. De Carufel, A. Maheshwari, L. F. Schultz Xavier da Silveira and M. Smid
In Proceedings of the 17th International Symposium on Algorithms and Data Structures (WADS), pages 1528, 2021.
Also appeared in ICCG’21.

Better approximation algorithms for the maximum weight internal spanning tree problem in cubic graphs and clawfree graphs.
A. Biniaz
In Proceedings of the 15th International Conference and Workshops on Algorithms and Computation (WALCOM), pages 260271, 2021.

Simple linear time algorithms for piercing pairwise intersecting disks
A. Biniaz, P. Bose, and Y. Wang
In Proceedings of the 33rd Canadian Conference on Computational Geometry (CCCG), pages 228236, 2021.

Boundedangle minimum spanning trees.
A. Biniaz, P. Bose, , A. Lubiw, and A. Maheshwari
In Proceedings of the 17th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT'20), pages 14:114:22, 2020.

Euclidean bottleneck boundeddegree spanning tree ratios
A. Biniaz
In Proceedings of the 30th ACMSIAM Symposium on Discrete Algorithms (SODA'20), pages 826836, 2020.

A short proof of the toughness of Delaunay triangulations
A. Biniaz
In Proceedings of the 3rd ACMSIAM Symposium on Simplicity in Algorithms (SOSA'20), pages 4346, 2020.

Minimum ply covering of points with convex shapes
A. Biniaz and Z. Lin
In the Proceedings of the 32nd Canadian Conference on Computational Geometry (CCCG'20), pages 25, 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.

Threecoloring threedimensional 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 Theta6 graphs
T. Biedl, A. Biniaz, V. Irvine, K. Jain, P. Kindermann, and A. Lubiw
In Proceedings of the the 45th International Workshop on GraphTheoretic 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), 18:118:15, 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), 14:114:12, 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), 11:111:14, 2018.

On the size of outerstring representations
T. Biedl, A. Biniaz, and M. Derka
In Proceedings of the 16th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT’18), 10:110:14, 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), 8:18:14, 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), 4953, 2018.

Compatible 4holes in point sets
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 30th Canadian Conference in Computational Geometry (CCCG’18), 346352, 2018.

Integral unit barvisibility 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), 230246, 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), 5460, 2018.

Packing boundaryanchored rectangles
T. Biedl, A. Biniaz, A. Maheshwari, and S. Mehrabi
In Proceedings of the 29th Canadian Conference on Computational Geometry (CCCG’17), 138143, 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), 193204, 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), 19:119:14, 2016.

A faster algorithm for the minimum redbluepurple 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), 140146, 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), 6880, 2016.

A plane 1.88spanner 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), 25:125:14, 2016.

Bottleneck matchings and Hamiltonian cycles in higherorder Gabriel graphs
A. Biniaz, A. Maheshwari, and M. Smid
In Proceedings of the 32nd European Workshop on Computational Geometry (EuroCG’16), 179182, 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 4approximation 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, SpringerVerlag, Berlin, pages 66–78, 2015.

Higherorder triangulardistance Delaunay graphs: graphtheoretical 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 113117, 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 431435, 2014.

Fixedorientation 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, SpringerVerlag, Berlin, pages 1728, 2013.
Other Contributions

Improved approximation ratios for two Euclidean maximum spanning tree problems
A. Biniaz
arXiv:2010.03870.
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.