A Dual Ascent-Based Branch-and-Bound Framework for the Prize-Collecting Steiner Tree and Related Problems
Published Online:25 May 2018https://doi.org/10.1287/ijoc.2017.0788
References
- (2014) Steiner tree problems. http://dimacs11.zib.de.Google Scholar
- (2013) The maximum weight connected subgraph problem. Jünger M, Reinelt G, eds. Facets of Combinatorial Optimization—Festschrift for Martin Grötschel (Springer, Berlin), 245–270.Crossref, Google Scholar
- (2011) An integer linear programming approach for finding deregulated subgraphs in regulatory networks. Nucleic Acids Res. 40(6):e43.Crossref, Google Scholar
- (1989) A dual-ascent procedure for large-scale uncapacitated network design. Oper. Res. 37(5):716–740.Link, Google Scholar
- (1979) A note on finding optimum branchings. Networks 9(4):309–312.Crossref, Google Scholar
- (2012) Efficient activity detection with max-subgraph search. IEEE Conf. Comput. Vision Pattern Recognition, Providence, RI, 1274–1281.Google Scholar
- (2002) On the implementation of MST-based heuristics for the Steiner problem in graphs. Mount DM, Stein C, eds. Algorithm Engrg. Experiments ALENEX 2002. Lecture Notes in Computer Science, Vol. 2409 (Springer, Berlin), 1–15.Google Scholar
- (2008) Identifying functional modules in protein–protein interaction networks: An integrated exact approach. Bioinformatics 24(13):i223–i231.Crossref, Google Scholar
- (1993) Steiner’s problem in graphs. PhD thesis, University of Amsterdam.Google Scholar
- (1989) Reduction tests for the Steiner problem in graphs. Networks 19(5):549–567.Crossref, Google Scholar
- (1967) Optimum branchings. J. Res. National Bureau Standards B 71(4):233–240.Crossref, Google Scholar
- (2014) Solving the maximum-weight connected subgraph problem to optimality. Technical report, 11th DIMACS Challenge Workshop, http://dimacs11.zib.de/workshop/ElKebirKlau.pdf.Google Scholar
- (2011) Prediction of metabolic pathways from genome-scale metabolic networks. Biosystems 105(2):109–121.Crossref, Google Scholar
- (2017) Thinning out Steiner trees: A node-based model for uniform edge costs. Math. Programming Comput. 9(2):203–229.Crossref, Google Scholar
- (2014) Knowledge guided tabu search for the prize collecting Steiner tree problem in graphs. Technical report, 11th DIMACS Challenge Workshop, http://dimacs11.zib.de/workshop/FuHao.pdf.Google Scholar
- (2017) Swap-vertex based neighborhood for Steiner tree problems. Math. Programming Comput. 9(2):297–320.Crossref, Google Scholar
- (2017) SCIP-jack—A solver for STP and variants with parallelization extensions. Math. Programming Comput. 9(2):231–296.Crossref, Google Scholar
- (1995) A general approximation technique for constrained forest problems. SIAM J. Comput. 24(2):296–317.Crossref, Google Scholar
- (2014) A fast, adaptive variant of the Goemans-Williamson scheme for the prize-collecting Steiner tree problem. Technical report, 11th DIMACS Challenge Workshop, http://people.csail.mit.edu/ludwigs/papers/dimacs14_fastpcst.pdf.Google Scholar
- (2000) The prize collecting Steiner tree problem: Theory and practice. Shmoys DB, ed. Sympos. Discrete Algorithms (ACM/SIAM, Philadelphia), 760–769.Google Scholar
- (1998) Solving Steiner tree problems in graphs to optimality. Networks 32(3):207–232.Crossref, Google Scholar
- (2000) SteinLib: An updated library on Steiner tree problems in graphs. Technical report, Zuse Institute Berlin, http://steinlib.zib.de.Google Scholar
- (1979) A fast algorithm for finding dominators in a flowgraph. ACM Trans. Programming Languages Systems 1(1):121–141.Crossref, Google Scholar
- (2006) An algorithmic framework for the exact solution of the prize-collecting Steiner tree problem. Math. Programming105(2–3):427–449.Crossref, Google Scholar
- (2017) A robust and scalable algorithm for the Steiner problem in graphs. Math. Programming Comput., ePub ahead of print September 4, https://doi.org/10.1007/s12532-017-0123-4.Google Scholar
- (2001) Improved algorithms for the Steiner problem in networks. Discrete Appl. Math. 112(1):263–300.Crossref, Google Scholar
- (1996) Multicast tree generation in networks with asymmetric links. IEEE/ACM Trans. Networking 4(4):558–568.Crossref, Google Scholar
- (2016) Reduction techniques for the prize-collecting Steiner tree problem and the maximum-weight connected subgraph problem. Technical report, Zuse Institute Berlin, https://opus4.kobv.de/opus4-zib/files/6042/PcMwReductions.pdf.Google Scholar
- (1980) An approximate solution for the Steiner problem in graphs. Math. Japonica 24(6):573–577.Google Scholar
- (2006) Reduction tests for the prize-collecting Steiner problem. Oper. Res. Lett. 34(4):437–444.Crossref, Google Scholar
- (1984) A dual ascent approach for Steiner tree problems on a directed graph. Math. Programming 28(3):271–287.Crossref, Google Scholar

