Removing additive structure in 3sum-based reductions

C Jin, Y Xu - Proceedings of the 55th Annual ACM Symposium on …, 2023 - dl.acm.org
Our work explores the hardness of 3SUM instances without certain additive structures, and
its applications. As our main technical result, we show that solving 3SUM on a size-n integer …

Hardness of approximation in P via short cycle removal: cycle detection, distance oracles, and beyond

A Abboud, K Bringmann, S Khoury… - Proceedings of the 54th …, 2022 - dl.acm.org
We present a new technique for efficiently removing almost all short cycles in a graph
without unintentionally removing its triangles. Consequently, triangle finding problems do …

On the enumeration complexity of unions of conjunctive queries

N Carmeli, M Kröll - ACM Transactions on Database Systems (TODS), 2021 - dl.acm.org
We study the enumeration complexity of Unions of Conjunctive Queries (UCQs). We aim to
identify the UCQs that are tractable in the sense that the answer tuples can be enumerated …

Constant-delay enumeration for nondeterministic document spanners

A Amarilli, P Bourhis, S Mengel… - ACM Transactions on …, 2021 - dl.acm.org
We consider the information extraction framework known as document spanners and study
the problem of efficiently computing the results of the extraction from an input document …

A purely regular approach to non-regular core spanners

ML Schmid, N Schweikardt - 24th International Conference on …, 2021 - drops.dagstuhl.de
The regular spanners (characterised by vset-automata) are closed under the algebraic
operations of union, join and projection, and have desirable algorithmic properties. The core …

# NFA Admits an FPRAS: Efficient Enumeration, Counting, and Uniform Generation for Logspace Classes

M Arenas, LA Croquevielle, R Jayaram… - Journal of the ACM …, 2021 - dl.acm.org
In this work, we study two simple yet general complexity classes, based on logspace Turing
machines, that provide a unifying framework for efficient query evaluation in areas such as …

Listing 4-cycles

A Abboud, S Khoury, O Leibowitz, R Safier - arXiv preprint arXiv …, 2022 - arxiv.org
In this note we present an algorithm that lists all $4 $-cycles in a graph in time $\tilde
{O}(\min (n^ 2, m^{4/3})+ t) $ where $ t $ is their number. Notably, this separates $4 $-cycle …

Efficient logspace classes for enumeration, counting, and uniform generation

M Arenas, LA Croquevielle, R Jayaram… - Proceedings of the 38th …, 2019 - dl.acm.org
In this work, we study two simple yet general complexity classes, based on logspace Turing
machines, which provide a unifying framework for efficient query evaluation in areas like …

Efficient enumeration algorithms for regular document spanners

F Florenzano, C Riveros, M Ugarte… - ACM Transactions on …, 2020 - dl.acm.org
Regular expressions and automata models with capture variables are core tools in rule-
based information extraction. These formalisms, also called regular document spanners, use …

Enumeration on trees with tractable combined complexity and efficient updates

A Amarilli, P Bourhis, S Mengel… - Proceedings of the 38th …, 2019 - dl.acm.org
We give an algorithm to enumerate the results on trees of monadic second-order (MSO)
queries represented by nondeterministic tree automata. After linear time preprocessing (in …