Solving Steiner trees: Recent advances, challenges, and perspectives

I Ljubić - Networks, 2021‏ - Wiley Online Library
The Steiner tree problem (STP) in graphs is one of the most studied problems in
combinatorial optimization. Since its inception in 1970, numerous articles published in the …

The scip optimization suite 3.2

G Gamrath, T Fischer, T Gally, A Gleixner, G Hendel… - 2016‏ - opus4.kobv.de
The SCIP Optimization Suite is a software toolbox for generating and solving various classes
of mathematical optimization problems. Its major components are the modeling language …

Thinning out Steiner trees: a node-based model for uniform edge costs

M Fischetti, M Leitner, I Ljubić, M Luipersbeck… - Mathematical …, 2017‏ - Springer
The Steiner tree problem is a challenging NP-hard problem. Many hard instances of this
problem are publicly available, that are still unsolved by state-of-the-art branch-and-cut …

SCIP-Jack—a solver for STP and variants with parallelization extensions

G Gamrath, T Koch, SJ Maher, D Rehfeldt… - Mathematical …, 2017‏ - Springer
The Steiner tree problem in graphs is a classical problem that commonly arises in practical
applications as one of many variants. While often a strong relationship between different …

Algorithms for the Steiner problem in networks

T Polzin - 2003‏ - publikationen.sulb.uni-saarland.de
The Steiner problem in networks is the problem of connecting a set of required vertices in a
weighted graph at minimum cost. It is a classical NP-hard problem with many important …

Implications, conflicts, and reductions for Steiner trees

D Rehfeldt, T Koch - Mathematical Programming, 2023‏ - Springer
The Steiner tree problem in graphs (SPG) is one of the most studied problems in
combinatorial optimization. In the past 10 years, there have been significant advances …

A dual ascent-based branch-and-bound framework for the prize-collecting Steiner tree and related problems

M Leitner, I Ljubić, M Luipersbeck… - INFORMS journal on …, 2018‏ - pubsonline.informs.org
We present a branch-and-bound (B&B) framework for the asymmetric prize-collecting
Steiner tree problem (APCSTP). Several well-known network design problems can be …

Finding dominators in practice

L Georgiadis, R Tarjan, R Werneck - Journal of Graph Algorithms and …, 2006‏ - jgaa.info
The computation of dominators in a flowgraph has applications in several areas, including
program optimization, circuit testing, and theoretical biology. Lengauer and Tarjan [] …

A robust and scalable algorithm for the Steiner problem in graphs

T Pajor, E Uchoa, RF Werneck - Mathematical Programming Computation, 2018‏ - Springer
We present an effective heuristic for the Steiner Problem in Graphs. Its main elements are a
multistart algorithm coupled with aggressive combination of elite solutions, both leveraging …

[کتاب][B] Algorithm Engineering

M Müller-Hannemann, S Schirra - 2001‏ - Springer
The systematic development of efficient algorithms has become a key technology for all
kinds of ambitious and innovative computer applications. With major parts of algorithmic …