We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
We consider self-stabilizing and self-organizing distributed construction of a spanner that forms an expander. The following results are presented. • A randomized technique to r...
Given an expander graph G = (V, E) and a set of q disjoint pairs of vertices in V , we are interested in finding for each pair (ai, bi), a path connecting ai to bi, such that the ...
Dynamic graphs have emerged as an appropriate model to capture the changing nature of many modern networks, such as peer-to-peer overlays and mobile ad hoc networks. Most of the re...
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...