We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph....
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
We study the k-wise independent relaxation of the usual model G(N, p) of random graphs where, as in this model, N labeled vertices are fixed and each edge is drawn with probabili...
We initiate the study of graph sketching, i.e., algorithms that use a limited number of linear measurements of a graph to determine the properties of the graph. While a graph on n...
We consider random graphs, and their extensions to random structures, with edge probabilities of the form βn−α , where n is the number of vertices, α, β are fixed and α >...