Weighted threshold games are coalitional games in which each player has a weight (intuitively corresponding to its voting power), and a coalition is successful if the sum of its w...
Edith Elkind, Leslie Ann Goldberg, Paul W. Goldber...
The choice of the scheduling algorithm is a major design criteria of a switch. Whereas it is known that maximum weight matching algorithms guarantee the stability of an input queu...
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 study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems. In this work, we initiate an effor...