T. Rado conjectured in 1928 that if S is a finite set of axis-parallel squares in the plane, then there exists an independent subset I S of pairwise disjoint squares, such that I ...
We provide the first hardness result for the Covering Radius Problem on lattices (CRP). Namely, we show that for any large enough p there exists a constant cp > 1 such that C...
Minimum vertex cover problem (MVCP) is an NP-hard problem and it has numerous real life applications. This paper presents hybrid genetic algorithm (HGA) to solve MVCP efficiently. ...
The Maximal Covering Location Problem (MCLP) maximizes the population that has a facility within a maximum travel distance or time. Numerous extensions have been proposed to enhan...
We present a polynomial time algorithm for the unit disk covering problem with an approximation factor 72, and show that this is the best possible approximation factor based on th...