20 citations · 109 across the 34 of their papers we have counts for
4 papers · 1 filter
Escaping an Infinitude of Lions
Mikkel Abrahamsen, Jacob Holm, Eva Rotenberg +1
We consider the following game played in the Euclidean plane: There is any countable set of unit speed lions and one fast man who can run with speed for some value…
Greedy spanners are optimal in doubling metrics
Glencora Borradaile, Hung Le, Christian Wulff-Nilsen
We show that the greedy spanner algorithm constructs a -spanner of weight for a point set in metrics of doubling dimension , resolving an open…
Best Laid Plans of Lions and Men
Mikkel Abrahamsen, Jacob Holm, Eva Rotenberg +1
We study the following question dating back to J.E. Littlewood (1885-1977): Can two lions catch a man in a bounded area with rectifiable lakes? The lions and the man are all assume…
All-Pairs Minimum Cuts in Near-Linear Time for Surface-Embedded Graphs
Glencora Borradaile, David Eppstein, Amir Nayyeri +1
For an undirected -vertex graph with non-negative edge-weights, we consider the following type of query: given two vertices and in , what is the weight of a minim…