k-cut problemSubmodular functionsMinimum cutClusteringGiven a graph with nonnegative edge-weights, let f(k) be the value of an optimal solution of the k-cut problem. We study f as a function of k. Let g be the convex envelope of f. We give a polynomial algorithm to compute g. In ...
The k-cut problem is to find a partition of an edge weighted graph into k nonempty components, such that the total edge weight between components is minimum. This problem is NP-complete for arbitrary k and its version involving fixing a vertex in each component is NP hard even for k=3....
給定一個圖形G 和一個整數k,「最小k 分割問題」 (the minimum k-cut problem) 討論的是如何用最小的 cost 將G 的 vertex set 分割為 k 個部份。這個問題由於在實際生... 王炳豐,Wang, BiingFeng - 《電機資訊學院 - College of Electrical Engineering\\s&\\scomputer》 ...
A 01 integer programming is proposed first to define and solve the k-cut problem. Then, an efficient branchand- bound algorithm is developed to solve this problem. As evidence of the utility of the proposed approach, the extensive computational results on random test problems are presented. In...
Least k cut problem NP completeness proof 翻译结果4复制译文编辑译文朗读译文返回顶部 The smallest K cut the np complete problems as evidence that 翻译结果5复制译文编辑译文朗读译文返回顶部 正在翻译,请等待... 相关内容 aWe had fishes for supper yesterday We had fishes for supper yesterday[translate]...
k-终端割问题(k-terminal cut problem)指的是寻找一个边子集,使得图中去掉该边子集后,各终端互不连通,且该边子集权和最小。2) hidden terminal problem 隐藏终端问题 1. An improved multi-channel media access control(MAC) protocol was developed to solve the erroneous reservation problem(ERP,the hidden...
Given a connected undirected multigraph G=(V, E) with positive edge capacities and a positive integer k with k≥2, the minimum k-cut problem is to find a set SE of minimum capacity whose removal leaves k connected components. It is known that this problem is NP-hard. In this paper we...
The Connected Max-k-Cut Problem is an extension of the well-known Max-Cut Problem. The objective is to partition a graph into k connected subgraphs by maximizing the cost of inter-partition edges. We propose a new integer linear program for the problem and a branch-and-cut algorithm. We ...
Given a graph or hyper graph, the graph or hyper graph Max-k-Cut problem is to partition the vertices into k nonempty sets such that the sum of weights of ... W Zhu,C Guo - Fourth International Symposium on Parallel Architectures 被引量: 2发表: 0年 A Local Search Approximation Algorith...
The theory of cuts occupies a central place in the study of exact algorithms In this chapter, we will present approximation algorithms for natural generalizations of the minimum cut problem. These generalizations are NP-hard.This is a preview of subscription content, log in via an institution to...