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 …

[图书][B] Combinatorial optimization

BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …

Physarum optimization: A biology-inspired algorithm for the steiner tree problem in networks

L Liu, Y Song, H Zhang, H Ma… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Using insights from biological processes could help to design new optimization techniques
for long-standing computational problems. This paper exploits a cellular computing model in …

[HTML][HTML] A tutorial on the balanced minimum evolution problem

D Catanzaro, M Frohn, O Gascuel, R Pesenti - European Journal of …, 2022 - Elsevier
Abstract The Balanced Minimum Evolution Problem (BMEP) is an APX-hard network design
problem that consists of finding a minimum length unrooted binary tree (also called a …

[图书][B] Steiner tree problems in computer communication networks

D Du, X Hu - 2008 - books.google.com
The Steiner tree problem is one of the most important combinatorial optimization problems. It
has a long history that can be traced back to the famous mathematician Fermat (1601-1665) …

[图书][B] Generalized connectivity of graphs

X Li, Y Mao - 2016 - Springer
Connectivity is one of the most basic concepts of graph-theoretical subjects, both in a
combinatorial sense and in an algorithmic sense. As we know, the classical connectivity has …

[图书][B] Modular system design and evaluation

MS Levin - 2015 - Springer
The frame approach for representing knowledge (ie, collection of frames are linked together
into frame-system) has been suggested by Marvin Minsky. In this approach, the frame …

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 …

The full Steiner tree problem

CL Lu, CY Tang, RCT Lee - Theoretical Computer Science, 2003 - Elsevier
Motivated by the reconstruction of phylogenetic tree in biology, we study the full Steiner tree
problem in this paper. Given a complete graph G=(V, E) with a length function on E and a …

The parameterized complexity of the survivable network design problem

AE Feldmann, A Mukherjee, EJ van Leeuwen - Journal of Computer and …, 2025 - Elsevier
In the well-known Survivable Network Design Problem (SNDP), we are given an undirected
graph G with edge costs, a set R of terminal vertices, and an integer demand ds, t for every …