Network flow models for designing diameter‐constrained minimum‐spanning and Steiner trees

L Gouveia, TL Magnanti - Networks: An International Journal, 2003 - Wiley Online Library
We formulate and computationally test several models for the Diameter‐Constrained
Minimum Spanning and Steiner Tree Problems, which seek a least‐cost spanning or Steiner …

Random-tree diameter and the diameter-constrained MST

A Abdalla, N Deo - International Journal of Computer Mathematics, 2002 - Taylor & Francis
A minimum spanning tree (MST) with a small diameter is required in numerous practical
situations such as when distributed mutual-exclusion algorithms are used, or when …

Computing a diameter-constrained minimum spanning tree in parallel

N Deo, A Abdalla - Italian Conference on Algorithms and Complexity, 2000 - Springer
A minimum spanning tree (MST) with a small diameter is required in numerous practical
situations. It is needed, for example, in distributed mutual exclusion algorithms in order to …

A sharp threshold for minimum bounded-depth and bounded-diameter spanning trees and Steiner trees in random networks

O Angel, AD Flaxman, DB Wilson - Combinatorica, 2012 - Springer
In the complete graph on n vertices, when each edge has a weight which is an exponential
random variable, Frieze proved that the minimum spanning tree has weight tending to ζ (3) …

A 2‐path approach for odd‐diameter‐constrained minimum spanning and Steiner trees

L Gouveia, TL Magnanti… - Networks: An International …, 2004 - Wiley Online Library
In a previous article, using underlying graph theoretical properties, Gouveia and Magnanti
(2003) described several network flow‐based formulations for diameter‐constrained tree …

Diameter-Constrained Minimum Spanning Tree Problems: A Survey

S Hendawi, I Altalahin, S AlZu'bi… - 2023 International …, 2023 - ieeexplore.ieee.org
The diameter of a tree is a measure of the longest path between any two nodes in the tree
where this path is defined in terms of the number of edges. A Diameter-Constrained …

Greedy heuristics for the diameter-constrained minimum spanning tree problem

C Requejo, E Santos - Journal of mathematical sciences, 2009 - Springer
The diameter-constrained minimum spanning tree problem is an NP-hard combinatorial
optimization problem that seeks a minimum cost spanning tree with a limit D imposed upon …

An intersecting tree model for odd-diameter-constrained minimum spanning and Steiner trees

L Gouveia, TL Magnanti, C Requejo - Annals of Operations Research, 2006 - Springer
In a previous paper, Gouveia and Magnanti (2003) found diameter-constrained minimal
spanning and Steiner tree problems to be more difficult to solve when the tree diameter D is …

[图书][B] Computing a diameter-constrained minimum spanning tree

AM Abdalla - 2001 - search.proquest.com
In numerous practical applications, it is necessary to find the smallest possible tree with a
bounded diameter. A diameter-constrained minimum spanning tree (DCMST) of a given …

Network flow models for designing diameter-constrained minimum spanning and Steiner trees

L Gouveia, TL Magnanti - 2001 - dspace.mit.edu
The Diameter-Constrained Minimum Spanning Tree Problem seeks a least cost spanning
tree subject to a (diameter) bound imposed on the number of edges in the tree between any …