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...
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
: For modeling real-life situations where not only the intensity of the relation existing between elements but also its polarity is important, we have proposed (see [Marcus and Tat...
In this paper we study the problems of detecting holes and antiholes in general undirected graphs, and we present algorithms for these problems. For an input graph G on n vertices ...
We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchin...
Brian C. Dean, Sandra Mitchell Hedetniemi, Stephen...