Continuum cascade model of directed random graphs: traveling wave analysis
نویسندگان
چکیده
منابع مشابه
Continuum Cascade Model of Directed Random Graphs: Traveling Wave Analysis
We study a class of directed random graphs. In these graphs, the interval [0, x] is the vertex set, and from each y ∈ [0, x], directed links are drawn to points in the interval (y, x] which are chosen uniformly with density one. We analyze the length of the longest directed path starting from the origin. In the x → ∞ limit, we employ traveling wave techniques to extract the asymptotic behavior ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2012
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/45/45/455002