- 1.Cai, G-P. and Y-G. Sun, The minimum augmentation of any graph to a k-edge-connected graph, Networks, 19 (1989), pp. 151-172.Google ScholarCross Ref
- 2.Dinits, E.A., A.V. Karzanov and M.L. Lomonosov, On the structure of a family of minimal weighted cuts in a graph, Studies in Discrete Optimization (in Russian), A.A. Fridman (Ed), Nauka, Moscow (1976), pp. 290-306.Google Scholar
- 3.Frank, A., Augmenting graphs to meet edge connectivity requirements, Proc. 31st Annual Symp. on Found. of Comp. Sci. (1990), and SIAM J. Discr. Math. 5 (1992) No. 1, pp. 25-53. Google ScholarDigital Library
- 4.Gabow, H.N., A matroid approach to finding edge connectivity and packing arborescences, Proc. 23rd Annual ACM Syrup. on Theory of Comp. (1991), pp. 112-122. Google ScholarDigital Library
- 5.Gabow, H.N., Applications of a poset representation to edge connectivity and graph rigidity, Proc. 32nd Annual Symp. on Found. of Comp. Sci. (1991), pp. 812-821. Google ScholarDigital Library
- 6.Gabow, H.N., Applications of a poset representation to edge connectivity and graph rigidity, Dept. ofComp. Sci., University of Colorado, Techn. Rept. CU-CS-545-91 (1991).Google Scholar
- 7.Gabow, H.N., Efficient Splitting Off Algorithms for Graphs, these proceedings. Google ScholarDigital Library
- 8.Goldberg, A.V. and R.E. Tarjan, A new approach to the maximum flow problem, Journal of the ACM, 35 (1988), pp. 921-940. Google ScholarDigital Library
- 9.Gomory, R.E. and T.C. Hu, Multi-terminal network flows. SIAM J. Appl. Math. 9 (1961), pp. 551-560.Google ScholarCross Ref
- 10.Hao, J. and J. B. Orlin, A faster algorithm for finding the minimum cut in a graph, Proc. of 3rd ACM-SIAM Symposium on Discrete Algorithms (i 992), pp. 165-174. Google ScholarDigital Library
- 11.Karger, D.R., Global Min-cuts in RNC, and Other Ramifications of a Simple Min-Cut Algorithm, Proc. of 4th ACM-SIAM Symposium on Discrete Algorithms, (1993), pp. 21-30. Google ScholarDigital Library
- 12.Karger, D.R. and C. Stein, An 0(n2) Algorithm for Minimum Cuts, Proc. 25th Annuai ACM Syrup. on Theory of Comp. (1993), pp. 757-765. Google ScholarDigital Library
- 13.Karzanov, A.V. and E.A. Timofeev, Efficient Algorithms for Finding all Minimal Edge Cuts of a Nonoriented Graph, Cybernetics 156-162, translated from Kibernetika 2 (1986), pp. 8-12.Google Scholar
- 14.Mulmuley, K., U.V. Vazirani and V.V. Vazirani, Matching is as easy as matrix inversion, Combinatonca 7(1 ) (1987), pp. 105-113 Google ScholarDigital Library
- 15.Naor, D., D. Gusfield, Ch. Martel, A fast algorithm for optimally increasing the edge connectivity, Proc. 31st Annual IEEE Symposium on Foundations of Comp. Sci. (1990), pp. 698-707.Google ScholarDigital Library
- 16.Naor, D. and V.V. Vazirani, Representing and enumerating edge connectivity cuts in RNC, Proc. Second Workshop on Algorithms and Data Structures (1991 ), Lecture Notes in Computer Science 519, Springer-Verlag, pp. 273-285.Google Scholar
- 17.Watanabe, T. and A. Nakamura, Edge connectivity augmentation problems, Comp. System Sci. 35 (1987), pp. 96-144. Google ScholarDigital Library
Index Terms
- Augmenting undirected connectivity in RNC and in randomized Õ(n3) time
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