The min-cut and vertex separator problem
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DOI: 10.1007/s10589-017-9943-4
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- Ting Pong & Hao Sun & Ningchuan Wang & Henry Wolkowicz, 2016. "Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 333-364, March.
- van Dam, E.R. & Sotirov, R., 2015. "On bounding the bandwidth of graphs with symmetry," Other publications TiSEM 180849f1-e7d3-44d9-8424-5, Tilburg University, School of Economics and Management.
- Mohamed Didi Biha & Marie-Jean Meurs, 2011. "An exact algorithm for solving the vertex separator problem," Journal of Global Optimization, Springer, vol. 49(3), pages 425-434, March.
- de Klerk, E. & Sotirov, R., 2007.
"Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem,"
Discussion Paper
2007-44, Tilburg University, Center for Economic Research.
- de Klerk, E. & Sotirov, R., 2010. "Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem," Other publications TiSEM 73287c80-3bc2-40c4-b02d-4, Tilburg University, School of Economics and Management.
- de Klerk, E. & Sotirov, R., 2007. "Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem," Other publications TiSEM 87a5d126-86e5-4863-8ea5-1, Tilburg University, School of Economics and Management.
- Qing Zhao & Stefan E. Karisch & Franz Rendl & Henry Wolkowicz, 1998. "Semidefinite Programming Relaxations for the Quadratic Assignment Problem," Journal of Combinatorial Optimization, Springer, vol. 2(1), pages 71-109, March.
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Cited by:
- Hu, Hao & Sotirov, Renata & Wolkowicz, Henry, 2023. "Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs," Other publications TiSEM 8dd3dbae-58fd-4238-b786-e, Tilburg University, School of Economics and Management.
- Xinxin Li & Ting Kei Pong & Hao Sun & Henry Wolkowicz, 2021. "A strictly contractive Peaceman-Rachford splitting method for the doubly nonnegative relaxation of the minimum cut problem," Computational Optimization and Applications, Springer, vol. 78(3), pages 853-891, April.
- Norberto Castillo-García & Paula Hernández Hernández, 2019. "Two new integer linear programming formulations for the vertex bisection problem," Computational Optimization and Applications, Springer, vol. 74(3), pages 895-918, December.
- Kuryatnikova, Olga & Sotirov, Renata & Vera, J.C., 2022. "The maximum $k$-colorable subgraph problem and related problems," Other publications TiSEM 40e477c0-a78e-4ee1-92de-8, Tilburg University, School of Economics and Management.
- Olga Kuryatnikova & Renata Sotirov & Juan C. Vera, 2022. "The Maximum k -Colorable Subgraph Problem and Related Problems," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 656-669, January.
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Keywords
Vertex separator; Minimum cut; Semidefinite programming; Convexification;All these keywords.
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