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cs.CG2025
Approximating Euclidean Shallow-Light Trees
Hung Le, Shay Solomon, Cuong Than +2
For a weighted graph and a designated source vertex , a spanning tree that simultaneously approximates a shortest-path tree w.r.t. source and a minimum…
cs.CG2025
Covering the Euclidean Plane by a Pair of Trees
Hung Le, Lazar Milenković, Shay Solomon +1
A {-stretch tree cover} of a metric space , for a parameter , is a collection of trees such that every pair of points has a -stretch path in one of the tr…
cs.CG2025
Optimal Bounds for Spanners and Tree Covers in Doubling Metrics
An La, Hung Le, Shay Solomon +4
It is known that any -point set in the -dimensional Euclidean space , for , admits: 1) a -spanner with maximum degree and…