Approximation algorithmcircuit value problemlogarithmic-space reduction$mathcal P$-complete algorithmWe prove that the sequential approximation algorithms for the problems $mathtt{MAX} mathtt{SAT}$ and $mathtt{MIN} mathtt{SET} mathtt{COVER}$ proposed in [9] are $mathcal P$-hard with respect ...
Set cover is what’s called NP-hard, and one implication is that we shouldn’t hope to find an efficient algorithm that will always give you the shortest regex for every regex golf problem. But despite this, there are approximation algorithms for set cover. What I mean by this is that ...
Packing-Based Approximation Algorithm for the k-Set Cover Problem Martin Fürer, Huiwen Yu $29.95 / €24.95 / £19.95 * * Final gross prices may vary according to local VAT. Get Access Abstract We present a packing-based approximation algorithm for the k-Set Cover problem. We introduce...
(non-necessarilygeometric)capacitatedsetcoverproblem.realweightselements.Onecanuseitselementsmostone.coverallallowedsets.Weshowanypolynomial-timealgorithmuncapacitatedversionsetcoverproblemcon-vertedapproximationalgorithmcapacitatedversiontworesultsyieldspolynomial-timeap-proximationalgorithmcustomersrepresentedweightedn-pointset...
0. Raz and Safra [18] proved that if P = N P then for some constant c, the unweighted set cover problem cannot be approximated within a factor c log n. This result shows that the greedy algorithm is an asymptotically best possible approximation algorithm for the weighted and unweighted ...
A linear time approximation algorithm for the weighted vertex cover problem J. Algorithms (1981) R. Bar-Yehuda et al. A local ratio theorem for approximating the weighted vertex cover problem Analysis and Design of Algorithms for Combinatorial Problems (1985) R. Boppana et al. Approximating maxim...
MHS2 is a heuristic-based approximation algorithm for solving the minimal hitting set/set cover problem. - npcardoso/MHS2
They present generalizations of the greedy algorithm of [10], [11] and [16], and prove that it finds an approximation of the (multi)-set (multi)-cover problem within an lnΔ factor of the optimal solution of the corresponding linear programming (LP) problem. Moreover, they give ...
VERTEX COVER AND SET COVER
Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology and biochemistry. We show an explicit construction of Ising Hami