Given a vertex-weighted graph G = (V, E; w), w(v) ≥ 0 for any v ∈ V , we consider a weighted version of the coloring problem which consists in finding a partition S = (S1, . ...
We conduct an experimental analysis of a distributed, randomized algorithm for edge coloring graphs. The algorithm is extremely simple, yet, according to the probabilistic analysi...
Madhav V. Marathe, Alessandro Panconesi, Larry D. ...
Constraint satisfaction research has focussed on consistency checking using k-consistency and its variations such as arc-consistency, and path-consistency. We define a new form of...
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...