We prove that n cops can capture (that is, some cop can get less than unit distance from) a robber in a continuous square region with side length less than √ 5n and hence that n/...
Virtual Private Network Design is the following NP-hard problem. We are given a communication network, represented as a weighted graph with thresholds on the nodes which represent...
Friedrich Eisenbrand, Fabrizio Grandoni, Gianpaolo...
We analyze the performance of greedy routing for array networks by providing bounds on the average delay and the average number of packets in the system for the dynamic routing pr...
In the incremental version of the well-known k-median problem the objective is to compute an incremental sequence of facility sets F1 ⊆ F2 ⊆ .... ⊆ Fn, where each Fk contain...
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...