Publications

[DBLP]

      

Journal Publications:


     Truly Optimal Euclidean Spanners.    

     SIAM J. Computing (special issue of FOCS'19), 2022 (to appear).      


     Fully Dynamic (Δ+1)-Coloring in Constant Update Time.

ACM Transactions on Algorithms, 2022 (to appear). 


      Dynamic Representations of Sparse Distributed Networks: A Locality-Sensitive Approach.

      ACM Transactions on Parallel Computing,  8(1): 1-26, 2021. 


  The Greedy Spanner is Existentially Optimal.

  SIAM J. Computing, 49(2), 429-447, 2020.


      Improved Dynamic Graph Coloring.     

      ACM Transactions on Algorithms, 16(3), 41:1-41:24, 2020.


       Fully Dynamic MIS in Uniformly Sparse Graphs.

       ACM Transactions on Algorithms, 16(2), 26:1-26:19, 2020.


        Fast Constructions of Light-Weight Spanners for General Graphs.

        ACM Transactions on Algorithms, 12(3): 29, 2016.


        Simple Deterministic Algorithms for Fully Dynamic Maximal Matching.

        ACM Transactions on Algorithms, 12(1): 7, 2016.


        Optimal Euclidean Spanners: Really Short, Thin and Lanky.

         J. ACM, 62(5): 35, 2015.

                  

        Steiner Shallow-Light Trees are Exponentially Lighter than Spanning Ones.

        SIAM J. Computing, 44(4): 996-1025, 2015.


   Light Spanners.

        SIAM J. Discrete Mathematics, 29(3): 1312-1321, 2015.

 

        Euclidean Steiner Shallow-Light Trees.

         J. Computational  Geometry (special issue of SoCG 2014), 6(2): 113-139, 2015.

 

        New Doubling Spanners: Better and Simpler.

        SIAM J. Computing, 44(1): 37-53, 2015.

 

        Balancing Degree, Diameter and Weight in Euclidean Spanners.

        SIAM J. Discrete Mathematics, 28(3): 1173-1198, 2014.

 

        Sparse Euclidean Spanners with Tiny Diameter.

        ACM Transactions on Algorithms (special issue of SODA 2011) 9(3): 28, 2013.

 

        The Tower of Hanoi Problem on Path Graphs.

        Discrete Applied Mathematics, 160(10-11): 1465-1483, 2012.

 

        The MST of Symmetric Disk Graphs (in Arbitrary Metric Spaces) is Light.

        SIAM J. Discrete Mathematics, 26(1): 250-262, 2012.

 

        Narrow-Shallow-Low-Light Trees with and without Steiner Points.

        SIAM J. Discrete Mathematics, 25(1): 181-210, 2011.

 

         Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners.

         Discrete & Computational Geometry, 43(4): 736-783, 2010.

         Invited by the Editors-In-Chief, J.E. Goodman, J. Pach and R. Pollack.

 

        A Natural Extension of Catalan Numbers.

         J. integer sequences, 11: 08.3.5., 2008.

 

        On an Infinite Family of Solvable Hanoi Graphs.

        ACM Transactions on Algorithms, 5(1): 13, 2008. 

 

        Optimality of an Algorithm Solving the Bottleneck Tower of Hanoi Problem.

        ACM Transactions on Algorithms, 4(3): 25, 2008.


Conference Publications:


     Nibbling at Long Cycles: Dynamic (and Static) Edge Coloring in Optimal Time

Proc. of SODA 2024.


     Shortcut Partitions in Minor-Free Graphs: Steiner Point Removal, Distance Oracles, Tree Covers, and More

Proc. of SODA 2024.


     Covering Planar Metrics (and Beyond): O(1) Trees Suffice.

Proc. of FOCS 2023.


     Optimal Fault-Tolerant Spanners in Euclidean and Doubling Metrics: Breaking the Ω(log n) Lightness Barrier.

Proc. of FOCS 2023.


     Sparse Euclidean Spanners with Optimal Diameter: A General and Robust Lower Bound via a Concave Inverse-Ackermann Function.

Proc. of SoCG 2023.


     Dynamic ((1+ε) ln n)-Approximation Algorithms for Minimum Set Cover and Dominating Set.

Proc. of STOC 2023.


     A Unified Framework for Light Spanners.

Proc. of STOC 2023.


     Can't See The Forest for the Trees: Navigating Metric Spaces by Bounded Hop-Diameter Spanners.

Proc. of PODC 2022.


Sparse Euclidean Spanners with Tiny Diameter: A Tight Lower Bound

Proc. of SoCG 2022.


Dynamic Matching Algorithms Under Vertex Updates 

Proc. of ITCS 2022, 96:1-96:24.   [Video@ITCS (by Lazar)]

Post-publication acknowledgement:  [Brand, Nanongkai, Saranurak'19] achieves O(n^1.529) update time per vertex update for maintaining the maximum matching size in a bipartite graph where updates are on one side (referred to as the "BASIC-dynamic setting" in our work)


     Near-Optimal Distributed Implementations of Dynamic Algorithms for Symmetry-Breaking Problems.

Proc. of ITCS 2022, 7:1-7:25.   [Video@ITCS (by Quanquan)]


     Near-Optimal Spanners for General Graphs in (Nearly) Linear Time.

Proc. of SODA 2022.

 

      Maintaining an EDCS in General Graphs: Simpler, Density-Sensitive and with Worst-Case Time Bounds.

Proc. of SOSA 2022.

 

     Algorithms for the Minimum Dominating Set Problem in Bounded Arboricity Graphs: Simpler, Faster, and Combinatorial.    [Video@DISC (by Adir)]

     Proc. of DISC 2021, 33:1-33:19.


     Fully Dynamic Set Cover via Hypergraph Maximal Matching: An Optimal Approximation Through a Local Approach 

     Proc. of ESA 2021, 8:1-8:18.


A Generalized Matching Reconfiguration Problem.   [video@ITCS]  [video2@ITCS]

Proc. of ITCS 2021, 57:1-57:20.


     Light Euclidean Spanners with Steiner Points.    

     Proc. of ESA 2020, 67:1-67:22.       


     A Unified Sparsification Approach for Matching Problems in Graphs of Bounded Neighborhood Independence.    [video@SPAA]    

     Proc. of SPAA 2020, 395-446.       

    Best Paper Award Finalist.


     Truly Optimal Euclidean Spanners.    [video@FOCS]    [video@HALG]     [Oded's choices]

     Proc. of FOCS 2019, 1078-1100.       

     One of 6 highlighted papers at FOCS'19; Invited to SICOMP (special issue of FOCS'19).


     When Algorithms for Maximal Independent Set and Maximal Matching Run in Sublinear Time.

     Proc. of ICALP 2019, 17:1-17:17.


     (1+ɛ)-Approximate Incremental Matching in Constant Deterministic Amortized Time.

     Proc. of SODA 2019, 1886-1898.


     Dynamic Maximal Independent Set with Sublinear in n Update Time.

     Proc. of SODA 2019, 1919-1936.


     Improved Dynamic Graph Coloring.     [Eppstein's blog]

     Proc. of ESA 2018, 72:1-72:16.


    Fully Dynamic MIS in Uniformly Sparse Graphs.

     Proc. of ICALP 2018, 92:1-92:14.


      Fully Dynamic Almost-Maximal Matching: Breaking the Polynomial Barrier for Worst-Case Time Bounds.

      Proc. of ICALP 2018, 33:1-33:14.


      Dynamic Representations of Sparse Distributed Networks: A Locality-Sensitive Approach.

      Proc. of SPAA 2018, 33-42.


Wireless Expanders.

Proc. of SPAA 2018, 13-22.


Dynamic Maximal Independent Set with Sublinear Update Time.

Proc. of STOC 2018, 815-826.


Local Algorithms for Bounded Degree Sparsifiers in Sparse Graphs.   [video@ITCS]   [Oded's choices]

Proc. of ITCS 2018, 52:1-52:19.


     Fully Dynamic Maximal Matching in Constant Update Time.   [video@FOCS]        

Proc. of FOCS 2016, 325-334.


The Greedy Spanner is Existentially Optimal.

Proc. of PODC 2016, 9-17.

Received Best Student Paper Award.

 

Dynamic (1 + ɛ)-Approximate Matchings: A Density-Sensitive Approach.

Proc. of SODA 2016, 712-739.

 

Local-On-Average Distributed Tasks.

Proc. of SODA 2016, 220-239.

 

Light Spanners.                                                                                                               

Proc. of ICALP (1) 2014, 442-452.

 

Orienting Fully Dynamic Graphs with Worst-Case Time Bounds.

Proc. of ICALP (2) 2014, 532-543.

 

Euclidean Steiner Shallow-Light Trees.                                                       

Proc. of SoCG 2014, 454-463.

 

 Light Spanners for Snowflake Metrics.                           

 Proc.of SoCG 2014, 387-396.

 

From Hierarchical Partitions to Hierarchical Covers: Optimal Fault-Tolerant Spanners for Doubling Metrics.

Proc. of STOC 2014, 363-372.

The following slides (which correspond to a 90-minute talk) are devoted to the optimal degree construction.

 

On the Average-Case Complexity of the Bottleneck Tower of Hanoi Problem.

Proc. of ANALCO 2014, 104-112.

 

New Doubling Spanners: Better and Simpler.

Proc. of ICALP 2013, 315-327.

  

Simple Deterministic Algorithms for Fully Dynamic Maximal Matching.

Proc. of STOC 2013, 745-754.

 

Optimal Euclidean Spanners: Really Short, Thin and Lanky.

Proc. of STOC 2013, 645-654.

 

Fast Constructions of Light-Weight Spanners for General Graphs.

Proc. of SODA 2013, 513-525.

 

Steiner Shallow-Light Trees are Exponentially Lighter than Spanning Ones.

Proc. of FOCS 2011, 373-382.

  

The MST of Symmetric Disk Graphs (in Arbitrary Metric Spaces) is Light.

Proc. of WADS 2011, 692-703.                     

 

An Optimal-Time Construction of Sparse Euclidean Spanners with Tiny Diameter.

Proc. of SODA 2011, 820-839.          

Received Best Student Paper Award.

          

Balancing Degree, Diameter and Weight in Euclidean Spanners.                                                                        

Proc. of ESA 2010, 48-59.

 

Narrow-Shallow-Low-Light Trees with and without Steiner Points.

Proc. of ESA 2009, 215-226.

 

Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners.                                      

Proc. of FOCS 2008, 519-528.

 

On Optimal Solutions for the Bottleneck Tower of Hanoi Problem          

Proc. of SOFSEM 2007, 248-259.

 

Optimal Algorithms for Tower of Hanoi Problems with Relaxed Placement Rules.

Proc. of ISAAC 2006, 36-47.