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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
Paths and Intersections: Exact Emulators for Planar Graphs
George Z. Li, Zihan Tan, Tianyi Zhang
We study vertex sparsification for preserving distances in planar graphs. Given an edge-weighted planar graph with terminals, the goal is to construct an emulator, which is a s…