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References
- Aldous, David. Asymptotics in the random assignment problem. Probab. Theory Related Fields 93 (1992), no. 4, 507–534. MR1183889
- Aldous, David; Lyons, Russell. Processes on unimodular random networks. Electron. J. Probab. 12 (2007), no. 54, 1454–1508. MR2354165
- Aldous, David; Steele, J. Michael. The objective method: probabilistic combinatorial optimization and local weak convergence. Probability on discrete structures, 1–72, Encyclopaedia Math. Sci., 110, Springer, Berlin, 2004. MR2023650
- Aldous, David J. The $\zeta(2)$ limit in the random assignment problem. Random Structures Algorithms 18 (2001), no. 4, 381–418. MR1839499
- Aldous, David J.; Bandyopadhyay, Antar. A survey of max-type recursive distributional equations. Ann. Appl. Probab. 15 (2005), no. 2, 1047–1110. MR2134098
- Bandyopadhyay, Antar. Endogeny for the logistic recursive distributional equation. Z. Anal. Anwend. 30 (2011), no. 2, 237–251. MR2793003
- Bayati, Mohsen; Shah, Devavrat; Sharma, Mayank. Max-product for maximum weight matching: convergence, correctness, and LP duality. IEEE Trans. Inform. Theory 54 (2008), no. 3, 1241–1251. MR2445062
- Ben-Dor, Amir; Karp, Richard M; Schwikowski, Benno; Shamir, Ron. The restriction scaffold problem. Journal of Computational Biology 10 (2003), no. 3-4, 385–398.
- Benjamini, Itai; Schramm, Oded. Recurrence of distributional limits of finite planar graphs. Electron. J. Probab. 6 (2001), no. 23, 13 pp. (electronic). MR1873300
- Blockeel, Hendrik; De Raedt, Luc; Ramong, Jan. Top-down induction of clustering trees. In Proceedings of the 15th International Conference on Machine Learning (1998), 55–63. Morgan Kaufmann.
- Eiter, Thomas; Mannila, Heikki. Distance measures for point sets and their computation. Acta Inform. 34 (1997), no. 2, 109–133. MR1465033
- Frieze, A. M. On the value of a random minimum spanning tree problem. Discrete Appl. Math. 10 (1985), no. 1, 47–56. MR0770868
- Frieze, Alan. On random symmetric travelling salesman problems. Math. Oper. Res. 29 (2004), no. 4, 878–890. MR2104159
- Hajek, Bruce. Performance of global load balancing by local adjustment. IEEE Trans. Inform. Theory 36 (1990), no. 6, 1398–1414. MR1080823
- Hessler, Martin; Wästlund, Johan. Edge cover and polymatroid flow problems. Electron. J. Probab. 15 (2010), no. 72, 2200–2219. MR2748403
- Khandwawala, Mustafa; Sundaresan, Rajesh. Belief propagation for optimal edge cover in the random complete graph. Ann. Appl. Probab. 24 (2014), no. 6, 2414–2454. MR3262507
- Mézard, Marc; Parisi, Giorgio. Replicas and optimization. Journal de Physique Lettres 46 (1985), 771–778.
- Mézard, Marc; Parisi, Giorgio. Mean-field equations for the matching and the travelling salesman problems. EPL (Europhysics Letters) 2 (1986), 913.
- Mézard, Marc; Parisi, Giorgio. On the solution of the random link matching problem. J.Physique 48 (1987), 1451–1459.
- Mézard, Marc; Parisi, Giorgio; Virasoro, Miguel Angel. Spin glass theory and beyond. World Scientific Lecture Notes in Physics, 9. World Scientific Publishing Co., Inc., Teaneck, NJ, 1987. xiv+461 pp. ISBN: 9971-50-115-5; 9971-50-116-3 MR1026102
- Parisi, Giorgio. A conjecture on random bipartite matching. arXiv:cond-mat/9801176 [cond-mat.dis-nn] (1998).
- Salez, Justin; Shah, Devavrat. Belief propagation: an asymptotically optimal algorithm for the random assignment problem. Math. Oper. Res. 34 (2009), no. 2, 468–480. MR2554069
- Sanghavi, Sujay; Malioutov, Dmitry; Willsky, Alan. Belief propagation and LP relaxation for weighted matching in general graphs. IEEE Trans. Inform. Theory 57 (2011), no. 4, 2203–2212. MR2760242
- Wästlund, Johan. The mean field traveling salesman and related problems. Acta Math. 204 (2010), no. 1, 91–150. MR2600434
- Wästlund, Johan. Replica symmetry of the minimum matching. Ann. of Math. (2) 175 (2012), no. 3, 1061–1091. MR2912702
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