If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
We investigate a variant of on-line edge-coloring in which there is a fixed number of colors availableandtheaimistocolorasmanyedgesaspossible.Weproveupperandlowerboundsontheperform...
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...
: Let G = (V, E) be a strongly connected and aperiodic directed graph of uniform out-degree k. A deterministic finite automaton is obtained if the edges are colored with k colors i...
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...