A Crossover Algebra for Solving Minimum Spanning Tree in Network Design with Diameter Constraints

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

Reload cost problems: minimum diameter spanning tree

We examine a network design problem under the reload cost model. Given an undirected edge colored graph, reload costs on a path arise at a node where the path uses consecutive edges of di(erent colors. We consider the problem of 0nding a spanning tree of minimum diameter with respect to the reload costs. We present lower bounds for the approximability even on graphs with maximum degree 5. On th...

متن کامل

A Distributed Algorithm for Constructing a Minimum Diameter Spanning Tree

We present a new algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of any (non-negatively) real-weighted graph G = (V, E, ω). As an intermediate step, we use a new, fast, linear-time all-pairs shortest paths distributed algorithm to find an absolute center of G. The resulting distributed algorithm is asynchronous, it works for named asynchronous arbi...

متن کامل

On the Minimum Diameter Spanning Tree Problem

We point out a relation between the minimum diameter spanning tree of a graph and its absolute 1-center. We use this relation to solve the diameter problem and an extension of it eeciently.

متن کامل

Geometric Minimum Diameter Spanning Tree Problem

Given a set P of n points in a plane, the Geometric Minimum Diameter Spanning Tree (GMDST) of P is a tree that spans P and minimizes the Euclidian length of the longest path. The best known algorithm for this problem runs in slightly sub-cubic time. In this report, I have surveyed some algorithms and approximation schemes developed for this problem and investigated the relation between this pro...

متن کامل

Approximating the geometric minimum-diameter spanning tree

Given a set P of points in the plane, a geometric minimum-diameter spanning tree (GMDST) of P is a spanning tree of P such that the longest path through the tree is minimized. In this paper, we present an approximation algorithm that generates a tree whose diameter is no more than (1+ ) times that of a GMDST, for any > 0. Our algorithm reduces the problem to several grid-aligned versions of the...

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 Physics: Conference Series

سال: 2021

ISSN: 1742-6588,1742-6596

DOI: 10.1088/1742-6596/1927/1/012024