Integer Programming Formulations for Minimum Spanning Tree Interdiction
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DOI: 10.1287/ijoc.2020.1018
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- Mahdavi Pajouh, Foad & Walteros, Jose L. & Boginski, Vladimir & Pasiliao, Eduardo L., 2015. "Minimum edge blocker dominating set problem," European Journal of Operational Research, Elsevier, vol. 247(1), pages 16-26.
- Kelly J. Cormican & David P. Morton & R. Kevin Wood, 1998. "Stochastic Network Interdiction," Operations Research, INFORMS, vol. 46(2), pages 184-197, April.
- Furini, Fabio & Ljubić, Ivana & Martin, Sébastien & San Segundo, Pablo, 2019. "The maximum clique interdiction problem," European Journal of Operational Research, Elsevier, vol. 277(1), pages 112-127.
- Walid Ben-Ameur & Mohamed-Ahmed Mohamed-Sidi & José Neto, 2015. "The $$k$$ k -separator problem: polyhedra, complexity and approximation results," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 276-307, January.
- P. M. Ghare & D. C. Montgomery & W. C. Turner, 1971. "Optimal interdiction policy for a flow network," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 18(1), pages 37-45, March.
- Cristina Bazgan & Sonia Toubaline & Daniel Vanderpooten, 2013. "Critical edges/nodes for the minimum spanning tree problem: complexity and approximation," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 178-189, July.
- Richard Wollmer, 1964. "Removing Arcs from a Network," Operations Research, INFORMS, vol. 12(6), pages 934-940, December.
- Maarten Oosten & Jeroen H. G. C. Rutten & Frits C. R. Spieksma, 2007. "Disconnecting graphs by removing vertices: a polyhedral approach," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 61(1), pages 35-60, February.
- Marco Di Summa & Andrea Grosso & Marco Locatelli, 2012. "Branch and cut algorithms for detecting critical nodes in undirected graphs," Computational Optimization and Applications, Springer, vol. 53(3), pages 649-680, December.
- Matteo Fischetti & Ivana Ljubić & Markus Sinnl, 2017. "Redesigning Benders Decomposition for Large-Scale Facility Location," Management Science, INFORMS, vol. 63(7), pages 2146-2162, July.
- Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
- Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray & Diane Snediker, 2008. "Comparative Approaches for Assessing Network Vulnerability," International Regional Science Review, , vol. 31(1), pages 88-112, January.
- Alexander Veremyev & Oleg A. Prokopyev & Eduardo L. Pasiliao, 2014. "An integer programming framework for critical elements detection in graphs," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 233-273, July.
- Stephen R. Chestnut & Rico Zenklusen, 2017. "Interdicting Structured Combinatorial Optimization Problems with {0, 1}-Objectives," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 144-166, January.
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Cited by:
- Wei, Ningji & Walteros, Jose L., 2022. "Integer programming methods for solving binary interdiction games," European Journal of Operational Research, Elsevier, vol. 302(2), pages 456-469.
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Keywords
network interdiction; minimum spanning tree; minimum edge blocker problems; bilevel optimization;All these keywords.
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