2 citations · 3 across the 8 of their papers we have counts for
11 papers
Three trees suffice for a constant stretch in minor-free graphs
Hung Le, Huy Pham, Cuong Than +1
In this short note, we show that -minor-free graphs have a tree cover with trees and constant stretch for any fixed graph . The number of trees matches the recent lower b…
Improved Euclidean Shallow Light Trees
Hung Le, Shay Solomon, Cuong Than +2
For parameters , a spanning tree of a weighted graph rooted at a designated vertex is called an -shallow-light tree (SLT) if (i) for every vertex ,…
Planar Embedding of Okamura-Seymour Quasimetrics in Polynomial Time with an Application to Distributed SSSP
Hung Le, Hector Tierno, Shuang Yang
A quasi-metric is an Okamura-Seymour quasimetric if there exists an edge-weighted planar embedded directed graph such that is a set of terminals on the…
Fine-Grained Complexity of Continuous Euclidean k-Center
Lotte Blank, Karl Bringmann, Parinya Chalermsook +4
In the (continuous) Euclidean -center problem, given points in and an integer , the goal is to find center points in that minimize the m…
A Polynomial Coreset for Furthest Neighbor in Planar Metrics
Kacper Kluk, Hung Le, Wojciech Nadara +3
A furthest neighbor data structure on a metric space and a set answers the following query: given , output maximizing $\mathr…
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…
Tree-Like Shortcuttings of Trees
Hung Le, Lazar Milenković, Shay Solomon +1
Sparse shortcuttings of trees -- equivalently, sparse 1-spanners for tree metrics with bounded hop-diameter -- have been studied extensively (under different names and settings), s…
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…
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…
Approximate Light Spanners in Planar Graphs
Hung Le, Shay Solomon, Cuong Than +2
In their seminal paper, Althöfer et al. (DCG 1993) introduced the {\em greedy spanner} and showed that, for any weighted planar graph , the weight of the greedy -spanner…
Optimal Padded Decomposition For Bounded Treewidth Graphs
Arnold Filtser, Tobias Friedrich, Davis Issac +4
A -padded decomposition of an edge-weighted graph is a stochastic decomposition into clusters of diameter at most such that for every vertex , th…