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On the Robustness of Interconnections in Random Graphs: A Symbolic Approach (2002)  (Make Corrections)  (1 citation)
Philippe Flajolet, Kostas Hatzis, Sotiris Nikoletseas, Paul Spirakis



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Abstract: : Graphs are models of communication networks. This paper applies symbolic combinatorial techniques in order to characterize the interplay between two parameters of a random graph, namely its density (the number of edges in the graph) and its robustness to link failures. Here, robustness means multiple connectivity by short disjoint paths. We determine the expected number of ways to get from a source to a destination via two edgedisjoint paths of length ` in the classical random graph... (Update)

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P. Flajolet, S. N. Kostas Hatzis, and P. Spirakis. On the robustness of interconnections in random graphs: a symbolic approach. Theoretical Computer Science, 287(2):515--534, 2002. http://citeseer.ist.psu.edu/flajolet02robustness.html   More

@misc{ flajolet02robustness,
  author = "P. Flajolet and S. Hatzis and P. Spirakis",
  title = "the robustness of interconnections in random graphs: a symbolic approach",
  text = "P. Flajolet, S. N. Kostas Hatzis, and P. Spirakis. On the robustness of
    interconnections in random graphs: a symbolic approach. Theoretical Computer
    Science, 287(2):515--534, 2002.",
  year = "2002",
  url = "citeseer.ist.psu.edu/flajolet02robustness.html" }
Citations (may not include all citations):
1120   Handbook of Mathematical Functions (context) - Abramowitz, Stegun - 1973
957   The Probabilistic Method (context) - Alon, Spencer - 1992
411   Random Graphs (context) - Bollob'as - 1985
267   Enumerative Combinatorics (context) - Stanley - 1986
157   Advanced Combinatorics (context) - Comtet - 1974
154   Combinatorial Enumeration (context) - Goulden, Jackson - 1983
143   Higher Transcendental Functions (context) - Erd'elyi - 1981
139   Ten Lectures on the Probabilistic Method (context) - Spencer - 1987
132   the Evolution of Random Graphs (context) - Erdos, R'enyi - 1960
108   An Introduction to the Analysis of Algorithms (context) - Sedgewick, Flajolet - 1996
92   Line Encyclopedia of Integer Sequences - Sloane, On- - 2000
60   GFUN: a Maple Package for the Manipulation of Generating and.. - Salvy, Zimmermann - 1994
50   Poisson Approximation (context) - Barbour, Holst et al. - 1992
48   Asymptotic Methods in Enumeration (context) - Bender - 1974
39   Automatic Average--case Analysis of Algorithms - Flajolet, Salvy et al. - 1991

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