Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
The neighbourhood function NG(t) of a graph G gives, for each t ∈ N, the number of pairs of nodes x, y such that y is reachable from x in less that t hops. The neighbourhood fun...
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Complex social and information network search becomes important with a variety of applications. In the core of these applications, lies a common and critical problem: Given a labe...
Arijit Khan, Nan Li, Xifeng Yan, Ziyu Guan, Supriy...
In this paper we study the behavior of a continuous time random walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is...
Daniel R. Figueiredo, Philippe Nain, Bruno F. Ribe...