Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
We define an abstract model of belief propagation on a graph based on the methodology of the revision theory of truth together with the Assertion Network Toolkit, a graphical inter...
We study the properties of affine rigidity of a (hyper)graph and prove a variety of fundamental results. First, we show that affine rigidity is a generic property (i.e., only depen...
Steven J. Gortler, Craig Gotsman, Ligang Liu, Dyla...
In this paper a way to have structures with partiality in its internal structure in a categorical approach is presented and, with this, a category of partial graphs Grp is given an...