Reformulating scale-free network via strong dependency

Author:

Kim Tae Yoon1,Park Cheolyong1,Ha Jeongcheol1,Hwang Sun Young2,Park Inho3

Affiliation:

1. Keimyung University Department of Statistics, , 1095 Dalgubeol-daero, Dalseo-gu, Daegu 42601, Repulic of Korea

2. Sookmyung Womens University Department of Statistics, , Cheongpa-ro 47-gil 100, Yongsan-gu, Seoul 04310, Repulic of Korea

3. Pukyong National University Department of Statistics, , 45 Yongo-ro, Nam-gu, Busan 48513, Republic of Korea

Abstract

Abstract In this article, we study the mechanism of generating a scale-free network using strong dependency between nodes. It is found that dependency should be aided by two key factors, namely, the reduced structure of network connections and small zero inflation. Our finding provides key conditions bridging the gap between the two groups having different opinions on scale-free networks. These groups include a camp of network scientists that consider scale-free networks as ideal objects in the large-size limit and the others that consider them as concrete objects in the real world.

Funder

National Research Foundation of Korea

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization,Management Science and Operations Research,Computer Networks and Communications

Reference9 articles.

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