随机正则图中长周期的渐近分布

Random Struct. Algorithms Pub Date : 1999-08-01 DOI:10.1002/(SICI)1098-2418(199908)15:1%3C43::AID-RSA3%3E3.0.CO;2-S

H. Garmo

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引用次数: 19

摘要

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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The asymptotic distribution of long cycles in random regular graphs

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

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Random Struct. Algorithms

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