منابع مشابه
Vertices of high degree in the preferential attachment tree ∗
We study the basic preferential attachment process, which generates a sequence of random trees, each obtained from the previous one by introducing a new vertex and joining it to one existing vertex, chosen with probability proportional to its degree. We investigate the number Dt(`) of vertices of each degree ` at each time t, focussing particularly on the case where ` is a growing function of t...
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The random graph model has recently been extended to a random preferential attachment graph model, in order to enable the study of general asymptotic properties in network types that are better represented by the preferential attachment evolution model than by the ordinary (uniform) evolution lodel. Analogously, this paper extends the random hypergraph model to a random preferential attachment ...
متن کاملCompetition-Induced Preferential Attachment
Models based on preferential attachment have had much success in reproducing the power law degree distributions which seem ubiquitous in both natural and engineered systems. Here, rather than assuming preferential attachment, we give an explanation of how it can arise from a more basic underlying mechanism of competition between opposing forces. We introduce a family of one-dimensional geometri...
متن کاملThe preferential attachment model∗
Many empirically studied networks have approximately so-called power-law or scale-free degree distributions. In Section 1 we formally define such distributions and explore some of their properties. We also introduce and briefly compare two methods for constructing random networks with approximately power-law degree distributions: generic scale-free networks and the preferential attachment model...
متن کاملA random mapping with preferential attachment
In this paper we investigate the asymptotic structure of a random mapping model with preferential attachment, T ρ n , which maps the set {1, 2, ..., n} into itself. The model T ρ n was introduced in a companion paper [11] and the asymptotic structure of the associated directed graph Gn which represents the action of T ρ n on the set {1, 2, ..., n} was investigated in [11] and [12] in the case w...
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ژورنال
عنوان ژورنال: Internet Mathematics
سال: 2018
ISSN: 1944-9488
DOI: 10.24166/im.05.2018