The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Abstract--There has been a sequence of recent papers devoted to understanding the relation between the testability of properties of Boolean functions and the invariance of the prop...
Arnab Bhattacharyya, Elena Grigorescu, Asaf Shapir...
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...