4 papers
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…
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…