The asymptotic behaviour of the weights and the degrees in an N-interactions random graph model

István Fazekas; Bettina Porvázsnyik

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arXiv · 1405.1267

The asymptotic behaviour of the weights and the degrees in an N-interactions random graph model

István Fazekas·Bettina Porvázsnyik

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Abstract

A random graph evolution based on the interactions of N vertices is studied. During the evolution both the preferential attachment method and the uniform choice of vertices are allowed. The weight of a vertex means the number of its interactions. The asymptotic behaviour of the weight and the degree of a fixed vertex, moreover the limit of the maximal weight and the maximal degree are described. The proofs are based on martingale methods.

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István Fazekas, Bettina Porvázsnyik. 2014-05-06. The asymptotic behaviour of the weights and the degrees in an N-interactions random graph model. https://arxiv.org/abs/1405.1267

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