2 papers
cs.DS2023
Improved Roundtrip Spanners, Emulators, and Directed Girth Approximation
Alina Harbuzova, Ce Jin, Virginia Vassilevska Williams +1
Roundtrip spanners are the analog of spanners in directed graphs, where the roundtrip metric is used as a notion of distance. Recent works have shown existential results of roundtr…
cs.DS2023
Simpler and Higher Lower Bounds for Shortcut Sets
Virginia Vassilevska Williams, Yinzhan Xu, Zixuan Xu
We provide a variety of lower bounds for the well-known shortcut set problem: how much can one decrease the diameter of a directed graph on vertices and edges by adding $O(…