Edge flows in the complete random-lengths network

نویسندگان

  • David J. Aldous
  • Shankar Bhamidi
چکیده

Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow between them along the shortest path. Each edge gets some random total flow. In the n→∞ limit we find explicitly the empirical distribution of these edge-flows, suitably normalized.

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 37  شماره 

صفحات  -

تاریخ انتشار 2010