| Existence and construction of edge disjoint paths on expander graphs |
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Annual ACM Symposium on Theory of Computing
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Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
table of contents
Victoria, British Columbia, Canada
Pages: 140 - 149
Year of Publication: 1992
ISBN:0-89791-511-9
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Authors
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Andrei Z. Broder
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DEC-SRC, 130 Lytton Ave, Palo Alto, CA
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Alan M. Frieze
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Department of Mathematics, Carnegie-Mellon University
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Eli Upfal
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IBM Almaden Research Center, San Jose, CA and Department of Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel
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Downloads (6 Weeks): 8, Downloads (12 Months): 42, Citation Count: 7
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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N. Alon. The linear arboricity of graphs. Israel J. Math., 62:311-325, 1988.
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N. Alon. The strong chromatic number of of a graph. Random Struct. Alg., 3:1-8, 1992.
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J. Beck. An Algorithmic Approach to the Lov~sz Local Lemma I. Random Struct. Alg., 2:343-365, 1991.
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V. Chv~tal Probabilistic methods in graph theory in Stochastics and Optimization (F.Archetti and F.Maffioli Eds.), Annals of Operations Research, 1:171-182, 1984.
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P. ErdSs and L. Lov~sz. Problems and Results on 3-Chromatic Hypergraphs and Some Related Questions. In Infinite and Finite Sets, (A. Hajnal et. al. eds), Colloq. Math. Soc. J. Bolyai 11, North Holland, 1975, pp. 609-627.
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T.I. Fenner and A.M. Frieze. On the connectivity of random m-orientable graphs and digraphs. Combinatorica, 2:347-359, 1982.
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A. Frank and A. Gyarfas. How to orient the edges of a graph? Colloq. Math. Soc. J. Bolyai, 18:353-364, 1978.
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J. Friedman , J. Kahn , E. Szemerédi, On the second eigenvalue of random regular graphs, Proceedings of the twenty-first annual ACM symposium on Theory of computing, p.587-598, May 14-17, 1989, Seattle, Washington, United States
[doi> 10.1145/73007.73063]
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W. Hoeffding. Probability inequalities for Sums of Bounded Random variables. In Journal of the American Statistical Association, 58:13-30, 1963.
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T. Leighton and B. Maggs. Expanders might be practical: Fast algorithms for routing around faults in multibutterflies. In Proceedings of the 30th Annum Symposium on Foundations of Computer Science, 264-274. IEEE, 1990.
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A. Lubotsky, R. Phillips, and P. Sarnak. Ramanujan graphs, Combinatorica, 8:261-277, 1988.
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J. Spencer. Ten Lectures on the Probabilistic Method. SIAM, 1987.
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D. Peleg and E. Upfal. Construction Disjoint Paths on Expander Graphs. Combinatorica, 9:289-313, 1989.
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N.R.obertson and P.D.Seymour Graph minors- XIII: The disjoint paths problem, to appear
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CITED BY 7
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Robert Cypher , Friedhelm Meyer auf der Heide , Christian Scheideler , Berthold Vöcking, Universal algorithms for store-and-forward and wormhole routing, Proceedings of the twenty-eighth annual ACM symposium on Theory of computing, p.356-365, May 22-24, 1996, Philadelphia, Pennsylvania, United States
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Andrei Z. Broder , Alan M. Frieze , Stephen Suen , Eli Upfal, An efficient algorithm for the vertex-disjoint paths problem in random graphs, Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms, p.261-268, January 28-30, 1996, Atlanta, Georgia, United States
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Andrei A. Broder , Alan M. Frieze , Stephen Suen , Eli Upfal, Optimal construction of edge-disjoint paths in random graphs, Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms, p.603-612, January 23-25, 1994, Arlington, Virginia, United States
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N. Alon , F. R. K. Chung , R. L. Graham, Routing permutations on graphs via matchings, Proceedings of the twenty-fifth annual ACM symposium on Theory of computing, p.583-591, May 16-18, 1993, San Diego, California, United States
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