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...
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Triangle inequality violations (TIVs) are the effect of packets between two nodes being routed on the longer direct path between them when a shorter detour path through an intermed...
Cristian Lumezanu, Randolph Baden, Neil Spring, Bo...
d Abstract) Noga Alon∗ Fedor V. Fomin† Gregory Gutin‡ Michael Krivelevich§ Saket Saurabh¶ We prove that finding a rooted subtree with at least k leaves in a directed grap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
This paper contributes in two directions. First, several concepts of our matrix approach to graph transformation [1,2] such as coherence and minimal initial digraph are applied to ...