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20242026
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cs.DS2026

Length-Constrained Network Design in Planar Digraphs

Chandra Chekuri, Rhea Jain

The paper develops polylogarithmic bicriteria approximation algorithms for length-constrained versions of Directed Steiner Tree and Directed Steiner Forest in planar directed graph…

cs.DS2026

Node-Weighted Multicut in Planar Digraphs

Chandra Chekuri, Rhea Jain

Kawarabayashi and Sidiropoulos [KS22] obtained an -approximation algorithm for Multicut in planar digraphs via a natural LP relaxation, which also establishes a corres…

cs.DS2025

Streaming Algorithms for Network Design

Chandra Chekuri, Rhea Jain, Sepideh Mahabadi +1

We consider the Survivable Network Design problem (SNDP) in the single-pass insertion-only streaming model. The input to SNDP is an edge-weighted graph and an integer…

cs.DS2024

A Polylogarithmic Approximation for Directed Steiner Forest in Planar Digraphs

Chandra Chekuri, Rhea Jain

We consider Directed Steiner Forest (DSF), a fundamental problem in network design. The input to DSF is a directed edge-weighted graph and a collection of vertex pairs…

cs.DS2024

From Directed Steiner Tree to Directed Polymatroid Steiner Tree in Planar Graphs

Chandra Chekuri, Rhea Jain, Shubhang Kulkarni +2

In the Directed Steiner Tree (DST) problem the input is a directed edge-weighted graph , a root vertex and a set of terminals. The goal is to find…

cs.DS2024

Exponential Time Approximation for Coloring 3-Colorable Graphs

Venkatesan Guruswami, Rhea Jain

The problem of efficiently coloring -colorable graphs with few colors has received much attention on both the algorithmic and inapproximability fronts. We consider exponential t…