We show that we can maintain up to polylogarithmic edge connectivity for a fully-dynamic graph in ~O(pn) time per edge insertion or deletion. Within logarithmic factors, this matc...
—Communication networks are vulnerable to natural disasters, such as earthquakes or floods, as well as to physical attacks, such as an Electromagnetic Pulse (EMP) attack. Such r...
Sebastian Neumayer, Gil Zussman, Reuven Cohen, Eyt...
We consider the real-world problem of extending a given infrastructure network in order to connect new customers. By representing the infrastructure by a single root node, this pro...
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...