Sublinear Algorithms for (1.5+ 𝜖)-Approximate Matching

S Bhattacharya, P Kiss, T Saranurak - Proceedings of the 55th Annual …, 2023 - dl.acm.org
We study sublinear time algorithms for estimating the size of maximum matching. After a
long line of research, the problem was finally settled by Behnezhad ‍ [FOCS'22], in the …

Approximating Maximum Matching Requires Almost Quadratic Time

S Behnezhad, M Roghani, A Rubinstein - Proceedings of the 56th …, 2024 - dl.acm.org
We study algorithms for estimating the size of maximum matching. This problem has been
subject to extensive research. For n-vertex graphs, Bhattacharya, Kiss, and Saranurak …

Sketching approximability of all finite CSPs

CN Chou, A Golovnev, M Sudan, S Velusamy - Journal of the ACM, 2024 - dl.acm.org
A constraint satisfaction problem (CSP),, is specified by a finite set of constraints for positive
integers q and k. An instance of the problem on n variables is given by m applications of …

Sublinear algorithms for tsp via path covers

S Behnezhad, M Roghani, A Rubinstein… - arXiv preprint arXiv …, 2023 - arxiv.org
We study sublinear time algorithms for the traveling salesman problem (TSP). First, we focus
on the closely related maximum path cover problem, which asks for a collection of vertex …

Query Complexity of the Metric Steiner Tree Problem

Y Chen, S Khanna, Z Tan - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
In the metric Steiner Tree problem, we are given an n× n metric w on a set V of vertices
along with a set T⊆ V of k terminals, and the goal is to find a tree of minimum cost that …

Approximability of Constraint Satisfaction Problems in the Streaming Setting

S Velusamy - 2023 - search.proquest.com
Abstract Maximum Constraint satisfaction problems (Max-CSPs) are ubiquitous in computer
science and encompass optimization problems such as Max-CUT, Max-DICUT, Max-kSAT …

Sublinear Time Approximation of the Cost of a Metric -Nearest Neighbor Graph

A Czumaj, C Sohler - SIAM Journal on Computing, 2024 - SIAM
Let be an-point metric space. We assume that is given in the distance oracle model, that is,
and for every pair of points from we can query their distance in constant time. A-nearest …