Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
—In this paper, we study node connectivity in multi-hop wireless networks. Nodal degree of connectivity as one of the fundamental graph properties is the basis for the study of n...
Performing random walks in networks is a fundamental primitive that has found applications in many areas of computer science, including distributed computing. In this paper, we fo...
Atish Das Sarma, Danupon Nanongkai, Gopal Panduran...
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...