Branch and cut algorithms for detecting critical nodes in undirected graphs
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Publication:1935569
DOI10.1007/s10589-012-9458-yzbMath1264.90170OpenAlexW2065419861MaRDI QIDQ1935569
Marco Di Summa, Marco Locatelli, Andrea Grosso
Publication date: 18 February 2013
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-012-9458-y
Programming involving graphs or networks (90C35) Integer programming (90C10) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57)
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Uses Software
Cites Work
- Enhancing RLT-based relaxations for polynomial programming problems via a new class of \(v\)-semidefinite cuts
- Enhancing RLT relaxations via a new class of semidefinite cuts
- Modeling \(s-t\) path availability to support disaster vulnerability assessment of network infrastructure
- Detecting critical nodes in sparse graphs
- Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
- A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique
- Deterministic network interdiction
- A cutting plane algorithm for computing \(k\)-edge survivability of a network
- A reformulation-convexification approach for solving nonconvex quadratic programming problems
- Robust Optimization of Graph Partitioning and Critical Node Detection in Analyzing Networks
- A Hierarchy of Relaxations between the Continuous and Convex Hull Representations for Zero-One Programming Problems
- Graph Theory and Integer Programming
- CSDP, A C library for semidefinite programming
- Removing Arcs from a Network
- Combinatorial optimization. Theory and algorithms
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