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...
This paper proves that the problem of finding connected vertex cover in a 2-connected planar graph ( CVC-2 ) with maximum degree 4 is NP-complete. The motivation for proving this result is to give a shorter and simpler proof of NP-Completeness of TRA-MLC (the Top Right Access point ...
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 ...
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 ...
Years and Authors of Summarized Original Work 2001; Chen, Kanj, Jia Problem Definition The vertex cover problem is one of the six "basic" NP-complete problems according to Garey and Johnson [ 7 ]. Therefore, the problem cannot be solved in polynomial time unless \\\( { \\\mathrm{P}= ...
ShowthatPUZZLEisNP-complete.Proof--PleaserefertotheslidesofApril17and19 5Showthatco-NP=P1,pwhere co-NP={L:LNP} P1,p={L:k,alanguageL‟inP s.t.(w,x)L‟}} s.t.L={x:w,|w|=O(|x|k),Proof:
and asks whetherGhas a vertex cover of size at mostk.Vertex Coveris one of the six classic NP-complete problems discussed by Garey and Johnson in their famous work on intractability [26, GT1], and has played an important role in the development of parameterized algorithms [18,19,36]. A...
Syst. Sci. 123, 103–121, 2022) show that the stability, vertex stability, and unfrozenness problems with respect to certain graph parameters are complete for [Math Processing Error]Θ2PΘ2P, the class of problems solvable in polynomial time by parallel access to an NP oracle. They studied...
The problem is known to be NP -complete see 13 , since the vertex cover problem can be reduced to it; there exist polynomial time algorithms for particular topologies 6, 15 and 17 . The relevance of this problem arises in several areas. For example, it models the problem of removing ...
We give a simple proof which shows that the multiple sequence tree alignment problem from molecular biology is both NP-complete and MAX SNP-hard. Our proof... HT Wareham - 《Journal of Computational Biology A Journal of Computational Molecular Cell Biology》 被引量: 44发表: 1995年 Fast balanc...