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cs.DS2026

On Time-Memory Tradeoffs for Maximal Palindromes with Wildcards and -Mismatches

Amihood Amir, Ayelet Butman, Michael Itzhaki +1

This paper addresses the problem of identifying palindromic factors in texts that include wildcards -- special characters that match all others. These symbols challenge many classi…

cs.DS2024

Multiway Cuts with a Choice of Representatives

Kristóf Bérczi, Tamás Király, Daniel P. Szabo

In this paper, we study several generalizations of multiway cut where the terminals can be chosen as \emph{representatives} from sets of \emph{candidates} . In this…

cs.DS2024★ 2 cited

Optimal Padded Decomposition For Bounded Treewidth Graphs

Arnold Filtser, Tobias Friedrich, Davis Issac +4

A -padded decomposition of an edge-weighted graph is a stochastic decomposition into clusters of diameter at most such that for every vertex , th…

cs.DS2023★ 1 cited

Parameterized Approximation for Robust Clustering in Discrete Geometric Spaces

Fateme Abbasi, Sandip Banerjee, Jarosław Byrka +6

We consider the well-studied Robust -Clustering problem, which generalizes the classic -Median, -Means, and -Center problems. Given a constant , the input…

cs.DS2022★ 3 cited

A Generalization of the Shortest Path Problem to Graphs with Multiple Edge-Cost Estimates

Eyal Weiss, Ariel Felner, Gal A. Kaminka

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized fram…

cs.DS2021★ 4 cited

An Improved Algorithm for The -Dyck Edit Distance Problem

Dvir Fried, Shay Golan, Tomasz Kociumaka +3

A Dyck sequence is a sequence of opening and closing parentheses (of various types) that is balanced. The Dyck edit distance of a given sequence of parentheses is the smallest…

cs.DS2021

Incremental Edge Orientation in Forests

Michael A. Bender, Tsvi Kopelowitz, William Kuszmaul +2

For any forest it is possible to orient the edges so that no vertex in has out-degree greater than . This paper considers the incremental edge-orientation p…

cs.DS2020★ 1 cited

Private Approximations of a Convex Hull in Low Dimensions

Yue Gao, Or Sheffet

We give the first differentially private algorithms that estimate a variety of geometric features of points in the Euclidean space, such as diameter, width, volume of convex hull,…

cs.DS2020★ 1 cited

Update Query Time Trade-off for dynamic Suffix Arrays

Amihood Amir, Itai Boneh

The Suffix Array SA(S) of a string S[1 ... n] is an array containing all the suffixes of S sorted by lexicographic order. The suffix array is one of the most well known indexing da…

cs.DS2020★ 9 cited

Sublinear-Time Algorithms for Computing & Embedding Gap Edit Distance

Tomasz Kociumaka, Barna Saha

In this paper, we design new sublinear-time algorithms for solving the gap edit distance problem and for embedding edit distance to Hamming distance. For the gap edit distance prob…

cs.DS2020★ 1 cited

Weighted Adaptive Coding

Aharon Fruchtman, Yoav Gross, Shmuel T. Klein +1

Huffman coding is known to be optimal, yet its dynamic version may be even more efficient in practice. A new variant of Huffman encoding has been proposed recently, that provably a…

cs.DS2020

Time-Space Tradeoffs for Finding a Long Common Substring

Stav Ben-Nun, Shay Golan, Tomasz Kociumaka +1

We consider the problem of finding, given two documents of total length , a longest string occurring as a substring of both documents. This problem, known as the Longest Common…

cs.DS2020★ 23 cited

A Framework for Adversarially Robust Streaming Algorithms

Omri Ben-Eliezer, Rajesh Jayaram, David P. Woodruff +1

We investigate the adversarial robustness of streaming algorithms. In this context, an algorithm is considered robust if its performance guarantees hold even if the stream is chose…

cs.DS2019

Graph Realizations: Maximum and Minimum Degree in Vertex Neighborhoods

Amotz Bar-Noy, Keerti Choudhary, David Peleg +1

The classical problem of degree sequence realizability asks whether or not a given sequence of positive integers is equal to the degree sequence of some -vertex undirected s…

cs.DS2019★ 32 cited

Resolution of the Burrows-Wheeler Transform Conjecture

Dominik Kempa, Tomasz Kociumaka

The Burrows-Wheeler Transform (BWT) is an invertible text transformation that permutes symbols of a text according to the lexicographical order of its suffixes. BWT is the main com…

cs.DS2019★ 5 cited

Noisy Beeping Networks

Yagel Ashkenazi, Ran Gelles, Amir Leshem

We introduce noisy beeping networks, where nodes have limited communication capabilities, namely, they can only emit energy or sense the channel for energy. Furthermore, imperfecti…

cs.DS2019★ 4 cited

The Strong 3SUM-INDEXING Conjecture is False

Tsvi Kopelowitz, Ely Porat

In the 3SUM-Indexing problem the goal is to preprocess two lists of elements from , and , such that given an element one c…

cs.DS2019★ 7 cited

Cartesian Tree Matching and Indexing

Sung Gwan Park, Amihood Amir, Gad M. Landau +1

We introduce a new metric of match, called Cartesian tree matching, which means that two strings match if they have the same Cartesian trees. Based on Cartesian tree matching, we d…

cs.DS2019★ 27 cited

String Synchronizing Sets: Sublinear-Time BWT Construction and Optimal LCE Data Structure

Dominik Kempa, Tomasz Kociumaka

Burrows-Wheeler transform (BWT) is an invertible text transformation that, given a text of length , permutes its symbols according to the lexicographic order of suffixes of…

cs.DS2019★ 3 cited

Efficient Multiparty Interactive Coding for Insertions, Deletions and Substitutions

Ran Gelles, Yael T. Kalai, Govind Ramnarayan

In the field of interactive coding, two or more parties wish to carry out a distributed computation over a communication network that may be noisy. The ultimate goal is to develop…

cs.DS2018★ 16 cited

Locally Consistent Parsing for Text Indexing in Small Space

Or Birenzwige, Shay Golan, Ely Porat

We consider two closely related problems of text indexing in a sub-linear working space. The first problem is the Sparse Suffix Tree (SST) construction of a set of suffixes usi…

cs.DS2018

Towards Tight Approximation Bounds for Graph Diameter and Eccentricities

Arturs Backurs, Liam Roditty, Gilad Segal +2

Among the most important graph parameters is the Diameter, the largest distance between any two vertices. There are no known very efficient algorithms for computing the Diameter ex…

cs.DS2018

Optimal Short-Circuit Resilient Formulas

Mark Braverman, Klim Efremenko, Ran Gelles +1

We consider fault-tolerant boolean formulas in which the output of a faulty gate is short-circuited to one of the gate's inputs. A recent result by Kalai et al. (FOCS 2012) convert…

cs.DS2017★ 1 cited

Constructing Light Spanners Deterministically in Near-Linear Time

Stephen Alstrup, Søren Dahlgaard, Arnold Filtser +2

Graph spanners are well-studied and widely used both in theory and practice. In a recent breakthrough, Chechik and Wulff-Nilsen [CW18] improved the state-of-the-art for light spann…