We propose approximation algorithms under game-theoretic considerations. We indroduce and study the general covering problem which is a natural generalization of the well-studied m...
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
Given a directed graph G with non negative cost on the arcs, a directed tree cover of G is a directed tree such that either head or tail (or both of them) of every arc in G is touc...
The problem of finding a satisfying assignment for a 2-SAT formula that minimizes the number of variables that are set to 1 (min ones 2–sat) is NP-complete. It generalizes the w...
Neeldhara Misra, N. S. Narayanaswamy, Venkatesh Ra...
In this paper we study the set cover games when the elements are selfish agents. In this case, each element has a privately known valuation of receiving the service from the sets,...