The Largest Eigenvalue Of Sparse Random Graphs
نویسندگان
چکیده
We prove that for all values of the edge probability p(n) the largest eigenvalue of a random graph G(n, p) satisfies almost surely: λ1(G) = (1 + o(1))max{ √ ∆, np}, where ∆ is a maximal degree of G, and the o(1) term tends to zero as max{ √ ∆, np} tends to infinity.
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ورودعنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 12 شماره
صفحات -
تاریخ انتشار 2003