A Weighted Bipartite Network Based on the Strength Preferential Attachment 1
نویسندگان
چکیده
A model for the weighted bipartite network is proposed and the growth mechanism is based on the strength preferential attachment. By the rate equation approach, the strength distribution of the bottom nodes is provided and it has a shifted power-law tail, i.e., P (s) ∝ (s + θ)−γ , for large s. The expressions of the parameters θ and γ are also given.
منابع مشابه
Emergence of Global Preferential Attachment From Local Interaction
Global degree/strength based preferential attachment is widely used as an evolution mechanism of networks. But it is hard to believe that any individual can get global information and shape the network architecture based on it. In this paper, it is found that the global preferential attachment emerges from the local interaction models, including distance-dependent preferential attachment (DDPA)...
متن کاملAnalysis and Synthesis of the Distribution of Consonants over Languages: A Complex Network Approach
Cross-linguistic similarities are reflected by the speech sound systems of languages all over the world. In this work we try to model such similarities observed in the consonant inventories, through a complex bipartite network. We present a systematic study of some of the appealing features of these inventories with the help of the bipartite network. An important observation is that the occurre...
متن کاملRate equation approach for correlations in growing network models.
We propose a rate equation approach to compute two vertex correlations in scale-free growing network models based on the preferential attachment mechanism. The formalism, based on previous work of Szabo [Phys. Rev. E. 67, 056102 (2002)] for the clustering spectrum, measuring three vertex correlations, is based on a rate equation in the continuous degree and time approximation for the average de...
متن کاملPower-law node degree distribution in online affiliation networks
The purpose of this article is to present a preferential attachment model adjusted to generation of bipartite graphs. The original model is able to produce unipartite graphs with node degree distribution following power law relation. The motivation for extending classic model is the fact that multi-partite graph topologies are becoming more and more popular in social networks. This phenomenon r...
متن کاملModel Construction and Simulation of Weighted Industrial Cluster Complex Network
In this paper, we construct a weighted industrial cluster complex network model according to preferential attachment and local world mechanism, in which the logistics amount of business contact between one enterprise and others is defined as edge weight. We simulate and analyze statistic characteristics of the industrial cluster model such as degree distribution, point strength, point strengthp...
متن کامل