The DNA solution of the Maximum Weighted Independent Set(MWIS) problem based on biological technology is primarily presented in this paper. The MWIS problem is a well-known NP complete problem. The crucial point
Keywords:DNAcomputing;Independentset;NP-completeproblem;Biologicaltechnology 1引言 最大加权独立集(MaximumWeightedIndependentSet, MWIS)问题作为NP完全类问题中的核心问题,形成时间由来 已久。它在工业过程控制,网络设计,自组织网,大规模集成 电路设计及经济模型分析等诸多方面都有着广泛的运用,同时 ...
It is known that the maximum independent set problem is NP-complete for subcubic graphs, i.e. graphs of vertex degree at most 3. Moreover, the problem is NP-complete for 3-regular Hamiltonian graphs and for H-free subcubic graphs whenever H contains a connected component which is not a...
In the maximum weighted flow-time case, this lower bound holds even if we allow non-immediate dispatch [5]. Chekuri et al. [19], [21] considered the problem of minimizing the maximum delay factor of a job in the parallel machines setting, where jobs come with deadlines and the delay ...
This could in principle be done but has a serious downside, namely that the paths are weighted with the instantaneous path length \(L[{\mathbf {x}}]\), which is sensitive to the A and B definition, and hence seems arbitrary. Moreover, this is not what we do in the CoPE-MaxCal ...
Weighted independent setModular decompositionClaw-free graphFork-free graphBull-free graphSummary: The {\\sc Maximum Weight Independent Set} (MWIS) problem on graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum total weight. The MWIS problem is well known to ...
Operations research On the Maximum Weighted Independent Set Problem with applications in wireless sensor networks BOSTON UNIVERSITY Ioannis Ch. Paschalidis HuangFuzhuoThe Problem considers a graph with weights assigned to the nodes and seeks to discover the "heaviest" independent set, that is, a set ...
The Maximum Weighted Independent Set (MWIS) Problem considers a graph with weights assigned to the nodes and seeks to discover the "heaviest" independent set, that is, a set of nodes with maximal total weight so that no two nodes in the set are connected by an edge. The MWIS problem ...
the practical complexity of solving the maximum weighted independent set problem for optimal scheduling in wireless networks - “On - 2008 () Citation Context ...st be solved. The MWIS problem on general graphs is NP-complete, however, as mentioned above, the MWIS problem is not necessarily ...
maximum weight independent set algorithmLP-relaxationclique inequalitiesgraph coloring algorithm approximation ratioA general technique for converting approximation algorithms for the vertex coloring problem in a class of graphs into approximation algorithms for the maximum weight independent set problem (MWIS)...