The Maximum Weight Independent Set (MWIS) problem on finite undirected graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum weight sum. MWIS is one of the most investigated and most important algorithmic graph problems; it is well known to be NP-complete, ...
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 $k$....
MS is a natural generalizations of the classic maximum weight independent set (MWIS) problem (where B=∞) and the 0/1-knapsack problem (where E=0̸), which are two cornerstone problems in theoretical computer science. MS finds applications in job scheduling [23] as well as in selecting ...
Maximum Weight Independent Set in Trees 来自 国家科技图书文献中心 喜欢 0 阅读量: 86 作者: S Pawagi 摘要: Computing a maximum independent set, weighted or unweighted, isNP-hard for general as well as planar graphs. However, polynomial time algorithms do exist for solving this problem on ...
≥m−βmminA⊆V′fm(A). (8) The last inequality holds because ∑Avol(A)=2(m−β) and so (7) is a weighted sum of the fm(A) with total weight one. This, together with the fact that no A has zero volume, also implies that (7) ≥ (8) with equality if and only if...
We recently introduced the continuum path ensemble maximum caliber (CoPE-MaxCal) method to reweight existing ensembles of trajectories to match experimental rate constants [46]. Given an ensemble of pathways harvested by unbiased molecular dynamics or enhanced trajectory sampling methods that do not bia...
The maximum weight independent set (MWIS) problem on graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum total weight. Being one of the most investigated and most important problems on graphs, it is well known to be NP-complete and hard ...
Maximum weight independent set (MWIS) is a combinatorial optimization problem that naturally arises in many applications especially wireless networking. This paper studies distributed approximation algorithms for finding MWIS in a general graph. In the proposed algorithm, each node keeps exchanging ...
Maximum weight independent set problem lclaw-free graphsPolynomial timeFor a finite, simple, undirected graph G with a vertex weight function, the Maximum Weight Independent Set (MWIS) problem asks for an independent vertex set of G with maximum weight. MWIS is a well-known NP-hard problem ...
We study a natural extension of the Maximum Weight Independent Set Problem(MWIS), one of the most studied optimization problems in Graph algorithms. Weare given a graph $G=(V,E)$, a weight function $w: V ightarrow \\mathbb{R^+}$,a budget function $b: V ightarrow \\mathbb{Z^+}$...