Intersections of Randomly Embedded Sparse Graphs are Poisson

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Intersections of Randomly Embedded Sparse Graphs are Poisson

Suppose that t ≥ 2 is an integer, and randomly label t graphs with the integers 1 . . . n. We give sufficient conditions for the number of edges common to all t of the labelings to be asymptotically Poisson as n → ∞. We show by example that our theorem is, in a sense, best possible. For Gn a sequence of graphs of bounded degree, each having at most n vertices, Tomescu [7] has shown that the num...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 1999

ISSN: 1077-8926

DOI: 10.37236/1468