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 in the algorithm is to use of direct proportional length-based DNA strands to ...
technology 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 它也是组合优化研究的核心问题,有着极高的研究价值。 DNA算法思想是由Adleman于...
Given a graph $G$, a non-negative integer $k$, and a weight function that maps each vertex in $G$ to a positive real number, the \emph{Maximum Weighted Budgeted Independent Set (MWBIS) problem} is about finding a maximum weighted independent set in $G$ of cardinality at most $k$....
In other words, the MIVC problem is about finding an independent set of cardinality at most $k$ with maximum coverage. Since it is a generalization of the well-known Maximum Weighted Independent Set (MWIS) problem, MWBIS too does not have any constant factor polynomial time approximation ...
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 ...
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 ...
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 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 ...
This problem of seeking a λ-colorable F with maximum total weight is known as Maximum-Weighted λ-Colorable Subgraph (λ-MWCS). This problem is a generalization of the classical problem Maximum-Weighted Independent Set (MWIS) and has broader applications in wireless networks. All exist...
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)...