The asymptotic distribution of long cycles in random regular graphs

H. Garmo
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引用次数: 19

Abstract

The asymptotic distribution of the number of cycles of length l in a random r-regular graph is determined. The length of the cycles is defined as a function of the number of vertices n, thus l = l(n), and the length satisfies l(n) --> infinity as n --> in
随机正则图中长周期的渐近分布
确定了随机r正则图中长度为l的环数的渐近分布。循环的长度定义为顶点数n的函数,因此l = l(n),当n -> in时,长度满足l(n) ->∞
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