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cs.DS2025
Cutting Planarians: Planar Emulators for String Graphs
Hsien-Chih Chang, Jonathan Conroy, Zihan Tan +1
In this paper we construct distance sketches for intersection graphs of arbitrary path-connected regions in the plane (known as the string graphs) in the constant and $1+\varepsilo…
cs.DS2025
Distance Approximating Minors for Planar and Minor-Free Graphs
Hsien-Chih Chang, Jonathan Conroy
Given an edge-weighted graph and a subset of vertices called terminals, an -distance-approximating minor (-DAM) of is a graph minor of that contains all t…
cs.DS2025
Light Tree Covers, Routing, and Path-Reporting Oracles via Spanning Tree Covers in Doubling Graphs
Hsien-Chih Chang, Jonathan Conroy, Hung Le +2
A -stretch tree cover of an edge-weighted -vertex graph is a collection of trees, where every pair of vertices has a -stretch path in one o…