Publications
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Erdős-Pósa property of cycles that are far apart
Vida Dujmovic, Gwenaël Joret, Piotr Micek, and Pat Morin
CoRR, vol. abs/2412.13893, 2024
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Tight Bounds on the Number of Closest Pairs in Vertical Slabs
Ahmad Biniaz, Prosenjit Bose, Chaeyoon Chung, Jean-Lou De Carufel, John Iacono, Anil Maheshwari, Saeed Odak, Michiel Smid, and Csaba D. Tóth
CoRR, vol. abs/2502.17600, 2025
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Quasi-isometries between graphs with variable edge lengths
James Davies, Meike Hatzel, and Robert Hickingbotham
CoRR, vol. abs/2503.07448, 2025
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Planar Graphs in Blowups of Fans
Vida Dujmović, Gwenaël Joret, Piotr Micek, Pat Morin, and David R. Wood
Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2025), pp. 3382–3391, 2025
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Minimum Plane Bichromatic Spanning Trees
Hugo A. Akitaya, Ahmad Biniaz, Erik D. Demaine, Linda Kleist, Frederick Stock, and Csaba D. Tóth
35th International Symposium on Algorithms and Computation (ISAAC 2024), LIPIcs vol. 322, pp. 4:1–4:14, 2024
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Noncrossing Longest Paths and Cycles
Greg Aloupis, Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel, David Eppstein, Anil Maheshwari, Saeed Odak, Michiel Smid, Csaba D. Tóth, and Pavel Valtr
32nd International Symposium on Graph Drawing and Network Visualization (GD 2024), LIPIcs vol. 320, pp. 36:1–36:17, 2024
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On the Spanning and Routing Ratio of the Directed Theta-Four Graph
Prosenjit Bose, Jean-Lou De Carufel, Darryl Hill, and Michiel Smid
Discrete & Computational Geometry, vol. 71, no. 3, pp. 872–892, 2024
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Fat minors cannot be thinned
James Davies and Yelena Yuditsky
CoRR, vol. abs/2407.16882, 2024
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Polynomial Gyárfás-Sumner conjecture for graphs of bounded boxicity
James Davies and Yelena Yuditsky
CoRR, vol. abs/2407.16882, 2024
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Product Structure Extension of the Alon-Seymour-Thomas Theorem
Marc Distel, Vida Dujmovic, David Eppstein, Robert Hickingbotham, Gwenaël Joret, Piotr Micek, Pat Morin, Michal T. Seweryn, and David R. Wood
SIAM Journal on Discrete Mathematics, vol. 38, no. 3, pp. 2095–2107, 2024
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The Excluded Tree Minor Theorem Revisited
Vida Dujmović, Robert Hickingbotham, Gwenaël Joret, Piotr Micek, Pat Morin, and David R. Wood
Combinatorics, Probability and Computing, vol. 33, no. 1, pp. 85–90, 2024
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Vertex ranking of degenerate graphs
John Iacono, Piotr Micek, Pat Morin, and Bruce Reed
CoRR, vol. abs/2404.16340, 2024
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The Minimum Moving Spanning Tree Problem
Hugo A. Akitaya, Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel, Anil Maheshwari, Luís Fernando Schultz Xavier da Silveira, and Michiel Smid
Journal of Graph Algorithms and Applications, vol. 27, no. 1, pp. 1–18, 2023
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Piercing Unit Geodesic Disks
Ahmad Biniaz, Prosenjit Bose, and Thomas C. Shermer
Proceedings of the 35th Canadian Conference on Computational Geometry (CCCG 2023), pp. 43–49, 2023
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Improved Routing on the Delaunay Triangulation
Nicolas Bonichon, Prosenjit Bose, Jean-Lou De Carufel, Vincent Despré, Darryl Hill, and Michiel Smid
Discrete & Computational Geometry, vol. 70, no. 3, pp. 495–549, 2023
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Subtrajectory Clustering: Finding Set Covers for Set Systems of Subcurves
F. Brüning, H. Akitaya, E. Chambers, and A. Driemel
Computing in Geometry and Topology, vol. 2, no. 1, pp. 1:1–1:48, 2023
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Finding Complex Patterns in Trajectory Data via Geometric Set Cover
Jacobus Conradi and Anne Driemel
CoRR, vol. abs/2308.14865, 2023
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Proof of the Clustered Hadwiger Conjecture
Vida Dujmović, Louis Esperet, Pat Morin, and David R. Wood
64th IEEE Annual Symposium on Foundations of Computer Science (FOCS 2023), pp. 1921–1930, 2023
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Geometric Graphs with Unbounded Flip-Width
David Eppstein and Rose McCarty
CoRR, vol. abs/2306.12611, 2023
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Universal geometric graphs
Fabrizio Frati, Michael Hoffmann, and Csaba D. Tóth
Combinatorics, Probability and Computing, vol. 32, no. 5, pp. 742–761, 2023
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Cop-width, flip-width and strong colouring numbers
Robert Hickingbotham
CoRR, vol. abs/2309.05874, 2023
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On RAC Drawings of Graphs with Two Bends per Edge
Csaba D. Tóth
Graph Drawing and Network Visualization (GD 2023), LNCS vol. 14465, pp. 69–77, 2023
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On the spanning and routing ratios of the directed Θ6-graph
Hugo A. Akitaya, Ahmad Biniaz, and Prosenjit Bose
Computational Geometry, vol. 105-106, pp. 101881, 2022
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Bounded-Angle Minimum Spanning Trees
Ahmad Biniaz, Prosenjit Bose, Anna Lubiw, and Anil Maheshwari
Algorithmica, vol. 84, no. 1, pp. 150–175, 2022
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Shorter Labeling Schemes for Planar Graphs
Marthe Bonamy, Cyril Gavoille, and Michal Pilipczuk
SIAM Journal on Discrete Mathematics, vol. 36, no. 3, pp. 2082–2099, 2022
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Linear versus centred chromatic numbers
Prosenjit Bose, Vida Dujmović, Hussein Houdrouge, Mehrnoosh Javarsineh, and Pat Morin
CoRR, vol. abs/2205.15096, 2022
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Faster Approximate Covering of Subcurves Under the Fréchet Distance
Frederik Brüning, Jacobus Conradi, and Anne Driemel
30th Annual European Symposium on Algorithms (ESA 2022), LIPIcs vol. 244, pp. 28:1–28:16, 2022
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Adjacency Labelling for Planar Graphs (and Beyond)
Vida Dujmovic, Louis Esperet, Cyril Gavoille, Gwenaël Joret, Piotr Micek, and Pat Morin
Journal of the ACM, vol. 68, no. 6, pp. 42:1–42:33, 2021
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Upward Point Set Embeddings of Paths and Trees
Elena Arseneva, Pilar Cano, Linda Kleist, Tamara Mchedlidze, Saeed Mehrabi, Irene Parada, and Pavel Valtr
WALCOM: Algorithms and Computation 2021, LNCS vol. 12635, pp. 234–246, 2021
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On the Minimum Consistent Subset Problem
Ahmad Biniaz, Sergio Cabello, Paz Carmi, Jean-Lou De Carufel, Anil Maheshwari, Saeed Mehrabi, and Michiel Smid
Algorithmica, vol. 83, no. 7, pp. 2273–2302, 2021
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Adjacency Labelling for Planar Graphs (and Beyond)
Vida Dujmović, Louis Esperet, Cyril Gavoille, Gwenaël Joret, Piotr Micek, and Pat Morin
Journal of the ACM, vol. 68, no. 6, pp. 42:1–42:33, 2021
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Tight Bounds on the Clique Chromatic Number
Gwenaël Joret, Piotr Micek, Bruce A. Reed, and Michiel Smid
Electronic Journal of Combinatorics, vol. 28, no. 3, 2021
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A Fast Algorithm for the Product Structure of Planar Graphs
Pat Morin
Algorithmica, vol. 83, no. 5, pp. 1544–1558, 2021
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Simple k-planar graphs are simple k+1-quasiplanar
Patrizio Angelini, Michael A. Bekos, Franz J. Brandenburg, Giordano Da Lozzo, Giuseppe Di Battista, Walter Didimo, Michael Hoffmann, Giuseppe Liotta, Fabrizio Montecchiani, Ignaz Rutter, and Csaba D. Tóth
Journal of Combinatorial Theory, Series B, vol. 142, pp. 1–35, 2020
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Planar Graphs Have Bounded Queue-Number
Vida Dujmovic, Gwenaël Joret, Piotr Micek, Pat Morin, Torsten Ueckerdt, and David R. Wood
Journal of the ACM, vol. 67, no. 4, pp. 22:1–22:38, 2020
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Resolving SINR Queries in a Dynamic Setting
Boris Aronov, Gali Bar-On, and Matthew J. Katz
SIAM Journal on Computing, vol. 49, no. 6, pp. 1271–1290, 2020
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Shorter Labeling Schemes for Planar Graphs
Marthe Bonamy, Cyril Gavoille, and Michal Pilipczuk
Proceedings of the 2020 ACM-SIAM Symposium on Discrete Algorithms (SODA 2020), pp. 446–462, 2020
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Spanning Properties of Theta-Theta-6
Mirela Damian, John Iacono, and Andrew Winslow
Graphs and Combinatorics, vol. 36, no. 3, pp. 525–538, 2020
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Adjacency Labelling for Planar Graphs (and Beyond)
Vida Dujmović, Louis Esperet, Cyril Gavoille, Gwenaël Joret, Piotr Micek, and Pat Morin
61st IEEE Annual Symposium on Foundations of Computer Science (FOCS 2020), pp. 577–588, 2020
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Planar Graphs Have Bounded Queue-Number
Vida Dujmović, Gwenaël Joret, Piotr Micek, Pat Morin, Torsten Ueckerdt, and David R. Wood
Journal of the ACM, vol. 67, no. 4, pp. 22:1–22:38, 2020
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Long Alternating Paths Exist
Wolfgang Mulzer and Pavel Valtr
36th International Symposium on Computational Geometry (SoCG 2020), LIPIcs vol. 164, pp. 57:1–57:16, 2020
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A simple randomized O(n log n)-time closest-pair algorithm in doubling metrics
Michiel Smid, Anil Maheshwari, and Wolfgang Mulzer
Journal of Computational Geometry, vol. 11, no. 1, pp. 507–524, 2020
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More Turán-Type Theorems for Triangles in Convex Point Sets
Boris Aronov, Vida Dujmović, Pat Morin, Aurélien Ooms, and Luís Fernando Schultz Xavier da Silveira
Electronic Journal of Combinatorics, vol. 26, no. 1, pp. 1, 2019
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Asymmetric Convex Intersection Testing
Luis Barba and Wolfgang Mulzer
2nd Symposium on Simplicity in Algorithms (SOSA 2019), OASIcs vol. 69, pp. 9:1–9:14, 2019
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Covering many points with a small-area box
Mark de Berg, Sergio Cabello, Otfried Cheong, David Eppstein, and Christian Knauer
Journal of Computational Geometry, vol. 10, no. 1, pp. 207–222, 2019
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Three-Coloring Three-Dimensional Uniform Hypergraphs
Ahmad Biniaz, Prosenjit Bose, Jean Cardinal, and Michael S. Payne
Proceedings of the 31st Canadian Conference on Computational Geometry (CCCG 2019), pp. 23–28, 2019
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On the Minimum Consistent Subset Problem
Ahmad Biniaz, Sergio Cabello, Paz Carmi, Jean-Lou De Carufel, Anil Maheshwari, Saeed Mehrabi, and Michiel Smid H. M.
Algorithms and Data Structures (WADS 2019), LNCS vol. 11646, pp. 155–167, 2019
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Every Collinear Set in a Planar Graph Is Free
Vida Dujmović, Fabrizio Frati, Daniel Gonçalves, Pat Morin, and Günter Rote
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2019), pp. 1521–1538, 2019
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Planar Graphs have Bounded Queue-Number
Vida Dujmović, Gwenaël Joret, Piotr Micek, Pat Morin, Torsten Ueckerdt, and David R. Wood
60th IEEE Annual Symposium on Foundations of Computer Science (FOCS 2019), pp. 862–875, 2019
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Finding Maximal Sets of Laminar 3-Separators in Planar Graphs in Linear Time
David Eppstein and Bruce A. Reed
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2019), pp. 589–605, 2019
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Simultaneous Embeddings with Few Bends and Crossings
Fabrizio Frati, Michael Hoffmann, and Vincent Kusters
Journal of Graph Algorithms and Applications, vol. 23, no. 4, pp. 683–713, 2019
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A Proof of the Orbit Conjecture for Flipping Edge-Labelled Triangulations
Anna Lubiw, Zuzana Masárová, and Uli Wagner
Discrete & Computational Geometry, vol. 61, no. 4, pp. 880–898, 2019
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A Logarithmic bound for the chromatic number of the associahedron
Louigi Addario-Berry, Bruce Reed, Alex Scott, and David R. Wood
CoRR, vol. abs/1811.08972v2, 2018
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Continuous Yao graphs
Davood Bakhshesh, Luis Barba, Prosenjit Bose, Jean-Lou De Carufel, Mirela Damian, Rolf Fagerberg, Mohammad Farshi, André van Renssen, Perouz Taslakian, and Sander Verdonschot
Computational Geometry, vol. 67, pp. 42–52, 2018
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EPG-representations with Small Grid-Size
Therese Biedl, Martin Derka, Vida Dujmović, and Pat Morin
Graph Drawing and Network Visualization (GD 2017), LNCS vol. 10692, pp. 184–196, 2017
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Towards plane spanners of degree 3
Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel, Cyril Gavoille, Anil Maheshwari, and Michiel Smid H. M.
Journal of Computational Geometry, vol. 8, no. 1, pp. 11–31, 2017
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New Bounds for Facial Nonrepetitive Colouring
Prosenjit Bose, Vida Dujmović, Pat Morin, and Lucas Rioux-Maldague
Graphs and Combinatorics, vol. 33, no. 4, pp. 817–832, 2017
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Structure of Graphs with Locally Restricted Crossings
Vida Dujmović, David Eppstein, and David R. Wood
SIAM Journal on Discrete Mathematics, vol. 31, no. 2, pp. 805–824, 2017
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Two-Planar Graphs Are Quasiplanar
Michael Hoffmann and Csaba D. Tóth
42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), LIPIcs vol. 83, pp. 47:1–47:14, 2017
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A Proof of the Orbit Conjecture for Flipping Edge-Labelled Triangulations
Anna Lubiw, Zuzana Masárová, and Uli Wagner
33rd International Symposium on Computational Geometry (SoCG 2017), LIPIcs vol. 77, pp. 49:1–49:15, 2017
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Towards Plane Spanners of Degree 3
Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel, Cyril Gavoille, Anil Maheshwari, and Michiel Smid H. M.
27th International Symposium on Algorithms and Computation (ISAAC 2016), LIPIcs vol. 64, pp. 19:1–19:14, 2016
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Layouts of graph expanders
Vida Dujmović, Anastasios Sidiropoulos, and David R. Wood
Chicago Journal of Theoretical Computer Science, vol. 16, no. 1, 2016
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Analysis of farthest point sampling for approximating geodesics in a graph
Pegah Kamousi, Sylvain Lazard, Anil Maheshwari, and Stefanie Wuhrer
Computational Geometry, vol. 57, pp. 1–7, 2016
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Compatible Connectivity Augmentation of Planar Disconnected Graphs
Greg Aloupis, Luis Barba, Paz Carmi, Vida Dujmović, Fabrizio Frati, and Pat Morin
Discrete & Computational Geometry, vol. 54, no. 2, pp. 459–480, 2015
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Compatible Connectivity-Augmentation of Planar Disconnected Graphs
Greg Aloupis, Luis Barba, Paz Carmi, Vida Dujmović, Fabrizio Frati, and Pat Morin
Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2015), pp. 1602–1615, 2015
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New and improved spanning ratios for Yao graphs
Luis Barba, Prosenjit Bose, Mirela Damian, Rolf Fagerberg, Wah Loon Keng, Joseph O'Rourke, André van Renssen, Perouz Taslakian, Sander Verdonschot, and Ge Xia
Journal of Computational Geometry, vol. 6, no. 2, pp. 19–53, 2015
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Genus, Treewidth, and Local Crossing Number
Vida Dujmović, David Eppstein, and David R. Wood
Graph Drawing and Network Visualization (GD 2015), LNCS vol. 9411, pp. 87–98, 2015
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On Obstacle Numbers
Vida Dujmović and Pat Morin
Electronic Journal of Combinatorics, vol. 22, no. 3, pp. 3, 2015
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Simultaneous Embeddings with Few Bends and Crossings
Fabrizio Frati, Michael Hoffmann, and Vincent Kusters
Graph Drawing and Network Visualization (GD 2015), LNCS vol. 9411, pp. 166–179, 2015
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On k-Enclosing Objects in a Coloured Point Set
Luis Barba, Stephane Durocher, Robert Fraser, Ferran Hurtado, Saeed Mehrabi, Debajyoti Mondal, Jason Morrison, Matthew Skala, and Mohammad Abdul Wahid
Proceedings of the 25th Canadian Conference on Computational Geometry (CCCG 2013), 2013