These are the first approximation algorithms for CSC problems in general graphs with guaranteed performance ratios.doi:10.1016/j.tcs.2008.11.005Zhao ZhangXiaofeng GaoWeili WuElsevier Science Publishers Ltd.Theo
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...
Set cover greedy algorithm is a natural approximation algorithm for test set problem. This paper gives a precise and tighter analysis of approximation ratio of this algorithm. The author improves the approximation ratio 2lnndirectly derived from set cover to 1.14lnnby applying potential function techni...
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...
Algorithms for Polytope Covering and Approximation This paper gives an algorithm for polytope covering: let L and U be sets of points in R d, comprising n points altogether. A cover for L from U is a set CU with L a subset of the convex hull of C. Suppose c is the size of a smal...
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
Zhang, ZhaoZhou, JiaoKo, Ker-IDu, Ding-zhuComputer enceZhang, Y., Shi, Y., Zhang, Z.: Approximation algorithm for the minimum weight connected \(k\) -subgraph cover problem. Theoret. Comput. Sci. 535 , 54–58 (2014) MATH MathSciNet...
R;Rossmanith P An efficient fixed parameter algorithm for 3-Hitting Set[外文期刊] 2003 M R;Johnson D S Computers and Intractability:A Guide to the Theory of NP-Completeness 1979 D S Approximation algorithms for the set covering and vertex cover problems[外文期刊] ...
Algorithm 1 Algorithm for generating a random SCP (G, U, S) without dummy elements in the cover set Input: The ground set U and the cover set S Procedure: 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: Initialize the output graph G ← ∅; for all s ∈ S do ...