In the minimum path coloring problem, we are given a list of pairs of vertices of a graph. We are asked to connect each pair by a colored path. Paths of the same color must be edg...
The problem of finding k minimum energy, edge-disjoint paths in wireless networks (MEEP) arises in the context of routing and belongs to the class of range assignment problems. A ...
We present an O(m + n)-time algorithm that tests if a given directed graph is 2-vertex connected, where m is the number of arcs and n is the number of vertices. Based on this resul...
There has been a significant amount of research lately on solving the edge disjoint path and related problems on expander graphs. We review the random walk approach of Broder, Fri...