Modeling hop-constrained and diameter-constrained minimum spanning tree problems as Steiner tree problems over layered graphs

L Gouveia, L Simonetti, E Uchoa - Mathematical Programming, 2011 - Springer
The hop-constrained minimum spanning tree problem (HMSTP) is an NP-hard problem
arising in the design of centralized telecommunication networks with quality of service …

An efficient, scalable, and exact representation of high-dimensional color information enabled using de Bruijn graph search

F Almodaresi, P Pandey, M Ferdman… - Journal of …, 2020 - liebertpub.com
The colored de Bruijn graph (cdbg) and its variants have become an important combinatorial
structure used in numerous areas in genomics, such as population-level variation detection …

Using variable redefinition for computing lower bounds for minimum spanning and Steiner trees with hop constraints

L Gouveia - INFORMS Journal on Computing, 1998 - pubsonline.informs.org
We use variable redefinition (see R. Martin, 1987. Generating Alternative Mixed-Integer
Programming Models Using Variable Redefinition, Operations Research 35, 820–831) to …

On formulations and methods for the hop-constrained minimum spanning tree problem

G Dahl, L Gouveia, C Requejo - Handbook of optimization in …, 2006 - Springer
In this chapter we present a general framework for modeling the hopconstrained minimum
spanning tree problem (HMST) which includes formulations already presented in the …

A new lagrangean relaxation approach for the hop-constrained minimum spanning tree problem

L Gouveia, C Requejo - European Journal of Operational Research, 2001 - Elsevier
We present a new Lagrangean relaxation for the hop-constrained minimum spanning tree
problem (HMST). The HMST is NP-hard and models the design of centralized …

Layered graph approaches to the hop constrained connected facility location problem

I Ljubić, S Gollowitzer - INFORMS Journal on Computing, 2013 - pubsonline.informs.org
Given a set of customers, a set of potential facility locations, and some interconnection
nodes, the goal of the connected facility location problem (ConFL) is to find the minimum …

Network design for time‐constrained delivery

H Chen, AM Campbell… - Naval Research Logistics …, 2008 - Wiley Online Library
To meet customer demand, delivery companies are offering an increasing number of time‐
definite services. In this article, we examine the strategic design of delivery networks which …

Shallow-light Steiner arborescences with vertex delays

S Held, D Rotter - International Conference on Integer Programming and …, 2013 - Springer
We consider the problem of constructing a Steiner arborescence broadcasting a signal from
a root r to a set T of sinks in a metric space, with out-degrees of Steiner vertices restricted to …

New formulations of the hop-constrained minimum spanning tree problem via miller–tucker–zemlin constraints

I Akgün, BÇ Tansel - European Journal of Operational Research, 2011 - Elsevier
Given an undirected network with positive edge costs and a natural number p, the Hop-
Constrained Minimum Spanning Tree problem (HMST) is the problem of finding a spanning …

A layered graph model and an adaptive layers framework to solve delay-constrained minimum tree problems

M Ruthmair, GR Raidl - International Conference on Integer Programming …, 2011 - Springer
We present a layered graph model for delay-constrained minimum tree problems with a
polynomial number of constraints which can be solved well for instances with low-to medium …