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From the 1 of 6 linked papers with an AI index.

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7 papers

cs.DS2026

Sharp Analysis of Gaussian Rounding for Boolean Max k-CSP

Yury Makarychev

In this note, we show that the approximation algorithm for Boolean Max -CSP presented in [Makarychev and Makarychev 2014] yields a approximation, as conjecture…

cs.DS2026

Threshold Rounding and Bounded-Degree Boolean MAX 2-CSP

Suprovat Ghoshal, Neng Huang, Euiwoong Lee +2

The paper presents improved approximation algorithms for Boolean MAX 2-CSP problems on instances where each variable participates in at most d constraints, achieving a ̅Ω(1/d^4) im…

cs.DS2026

On the Approximability of Max-Cut on 3-Colorable Graphs and Graphs with Large Independent Sets

Suprovat Ghoshal, Neng Huang, Euiwoong Lee +2

Max-Cut is a classical graph-partitioning problem where given a graph , the objective is to find a cut which maximizes the number of edges crossing the cut. In…

cs.DS2025

Hardness of Approximation for Shortest Path with Vector Costs

Charlie Carlson, Yury Makarychev, Ron Mosenzon

We obtain hardness of approximation results for the -Shortest Path problem, a variant of the classic Shortest Path problem with vector costs. For every integer $p \in [2,\i…

cs.DS2025

Max-Cut with Multiple Cardinality Constraints

Yury Makarychev, Madhusudhan Reddy Pittu, Ali Vakilian

We study the classic Max-Cut problem under multiple cardinality constraints, which we refer to as the Constrained Max-Cut problem. Given a graph , a partition of the vert…

cs.DS2025

A Polynomial-Time Approximation for Pairwise Fair -Median Clustering

Sayan Bandyapadhyay, Eden Chlamtáč, Zachary Friggstad +3

In this work, we study pairwise fair clustering with groups, where for every cluster and every group , the number of points in from group mus…