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cs.DS2024
Paths and Intersections: Characterization of Quasi-metrics in Directed Okamura-Seymour Instances
Yu Chen, Zihan Tan
We study the following distance realization problem. Given a quasi-metric on a set of terminals, does there exist a directed Okamura-Seymour graph that realizes as the…
cs.DS2024
Cut-Preserving Vertex Sparsifiers for Planar and Quasi-bipartite Graphs
Yu Chen, Zihan Tan
We study vertex sparsification for preserving cuts. Given a graph with a subset of its vertices called terminals, a \emph{quality- cut sparsifier} is a graph th…
cs.DS2024
Lower Bounds on -Extension with Steiner Nodes
Yu Chen, Zihan Tan
In the -Extension problem, we are given an edge-weighted graph , a set of its vertices called terminals, and a semi-metric over , and the goal i…