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Open and increasing paths on N-ary trees with different fitness values - MaRDI portal

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Open and increasing paths on N-ary trees with different fitness values

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Publication:6420121

arXiv2212.05233MaRDI QIDQ6420121

Author name not available (Why is that?)

Publication date: 10 December 2022

Abstract: Consider a rooted N-ary tree. For every vertex of this tree, we atttach an i.i.d. Bernoulli random variable. A path is called open if all the random variables that are assigned on the path are 1. We consider limiting behaviors for the number of open paths from the root to leaves and the longest open path. In addition, when all fitness values are i.i.d. continuous random variables, some asymptotic properties of the longest increasing path are proved.












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