WebJun 30, 2008 · This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a collection T = {T 1, …, T k}, each a subset of V of size at least 2, a weight function w: E → R +, and a penalty function p: T → R +.The goal is to find a forest F that … WebApr 12, 2024 · PDF This paper addresses a forest harvesting problem with adjacency constraints, including additional environmental constraints to protect wildlife... Find, read and cite all the research you ...
An O(logn)-Competitive Algorithm for Online Constrained …
WebApr 1, 1995 · We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph with trees, cycles or paths satisfying certain requirements. In particular, many basic combinatorial optimization problems fit in this framework, including the … WebOur technique produces approximation algorithms that run in O ( n 2 log n) time and come within a factor of 2 of optimal for most of these problems. For instance, we obtain a 2-approximation algorithm for the minimum-weight perfect matching problem under the … clearvise frankfurt
A general approximation technique for constrained …
WebBrown University Department of Computer Science WebJan 21, 2013 · The Prize-Collecting Steiner Tree problem (PCST) is to find a tree T = (V',E') of a undirected graph G(V,E) that maximizes profit(T) which is defined as the sum of all node-prizes taken into the solution minus the costs of the edges needed to establish the network. Use T = FindTree(G,vp) to start the computation. WebRelated Work. The Steiner tree problem is NP-hard [] and APX‐complete [4,8].The current best lower bound on the achievable approximation ratio for the Steiner tree problem is 1.0074 [].Goemans and Williamson [] generalized the results obtained by Agrawal, Klein and Ravi to a larger class of connectivity problems, which they term constrained forest … clear virus from iphone