Steiner tree reoptimization in graphs with sharpened triangle inequality

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Steiner Tree Reoptimization Problem with Sharpened Triangle Inequality

In this paper, we deal with several reoptimization variants of the Steiner tree problem in graphs obeying a sharpened β-triangle inequality. A reoptimization algorithm exploits the knowledge of an optimal solution to a problem instance for finding good solutions for a locally modified instance. We show that, in graphs satisfying a sharpened triangle inequality (and even in graphs where edge-cos...

متن کامل

On k-connectivity problems with sharpened triangle inequality

Article history: Received 21 May 2007 Accepted 28 March 2008 Available online 4 April 2008

متن کامل

Reoptimization of TSP and Steiner Tree: Changing single edge-weights

We consider the following optimization problem: Given an instance of an optimization problem and some optimum solution for this instance, we want to find a good solution for a slightly modified instance. Additionally, the scenario is addressed where the solution for the original instance is not an arbitrary optimum solution, but is chosen among all optimum solutions in a most helpful way. In th...

متن کامل

On the Hardness of Constructing Minimal 2-Connected Spanning Subgraphs in Complete Graphs with Sharpened Triangle Inequality

In this paper we investigate the problem of finding a 2-connected spanning subgraph of minimal cost in a complete and weighted graph G. This problem is known to be APX-hard, for both the edge and the vertex connectivity case. Here we prove that theAPX-hardness still holds even if one restricts the edge costs to an interval [1, 1+ε], for an arbitrary small ε > 0. This result implies the first ex...

متن کامل

An Approximation Algorithm for the Minimum Weight Vertex-Connectivity Problem in Complete Graphs with Sharpened Triangle Inequality

Consider a complete graph G with the edge weights satisfying the β-sharpened triangle inequality: weight(u, v) ≤ β(weight(u, x)+ weight(x, v)), for 1/2 ≤ β < 1. We study the NP-hard problem of finding a minimum weight spanning subgraph of G which is k-vertex-connected, k ≥ 2, and give a detailed analysis of an approximation quadratic-time algorithm whose performance ratio is β 1−β . The algorit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Discrete Algorithms

سال: 2012

ISSN: 1570-8667

DOI: 10.1016/j.jda.2011.03.014