VERTEX COVER is a core graph problem in the class NP-complete. Given a graph with a set of vertices and a set of edges, we find a smallest subset of the vertices that covers all the edges. An edge is considered to be covered if either of its end points is in the cover set. As ...
摘要: Starting from the vertex cover problem, this paper obtains a more particular NP-complete problem (comparing with the feedback vertex set problem) and its counterpart in finite automata theory关键词: Theoretical or Mathematical/ finite automata set theory/ vertex cover NP-complete feedback ...
Finding the minimum vertex cover is an NP-complete problem. However, by using some heuristics we can obtain a vertex cover set, which is in the worst case at most twice that of the optimal. Our algorithm provides solutions specifying coverage sensors that can be used as communication sensors ...
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, each of which guarantees an approximation ratio of, to find approximate vertex covers for a large collection of te...
Using this method, we show that #3-Regular Bipartite Planar Vertex Covers is #P-complete. Furthermore, we use Valiant's Holant Theorem to construct a... M Xia,P Zhang,W Zhao - 《Theoretical Computer Science》 被引量: 122发表: 2007年 Minimal vertex covers on finite-connectivity random gra...
Graphvertex-covering problemis a NP-complete problem. 图的顶点覆盖问题是一个困难的NP-完全问题,并且有许多良好的应用。 2) vertex covering problem 顶点覆盖问题 1. This paper presents the modeling process of the key covering problem(KCP) in the group rekeying and the transformations between the KCP...
Our results Both p-Edge-Connected Vertex Cover and p-Connected Vertex Cover are NP-complete; proofs for this follow from the reductions provided in Theorem 7, Theorem 8, respectively. It is also not hard to obtain simple FPT algorithms for both p-Edge-Connected Vertex Cover and p-Connect...
The fault coverage problem for reconfigurable arrays has received as constraint bipartitevertex coverproblem, which is proved as a NP-complete. 对超大规模集成电路芯片 (VLSI)的缺陷修复可归结为受二分图约束的顶点覆盖问题 ,该问题属于NP完全问题 。
For any 𝑘≥2k≥2, MinVCP𝑘k is NP-complete. The 2-subdivision of a graph G is obtained from G by replacing every edge 𝑒=𝑢𝑣e=uv by a 4-path 𝑢𝑥𝑦𝑣uxyv. Poljak [15] showed that MinVCP22 is NP-complete in 2-subdivision graphs. By Poljak’s result and the...
Safra On the hardness of approximating minimum vertex cover Ann. of Math., 162 (1) (2005) preliminary version in STOC 2002 Google Scholar [11] U. Feige, S. Goldwasser, L. Lovász, S. Safra, M. Szegedy, Approximating clique is almost NP-complete, in: Proc. 32nd IEEE Symp. on ...