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In a range of citation networks, the in-degree distributions boast time-periodicity---the distributions of citations per article published each year present similar scale-free tails. This phenomenon can be regarded as a consequence of the…

Physics and Society · Physics 2016-10-12 Qi Liu , Zheng Xie , Zonglin Xie , Enming Dong , Jianping Li

Several network growth models have been proposed in the literature that attempt to incorporate properties of citation networks. Generally, these models aim at retaining the degree distribution observed in real-world networks. In this work,…

Social and Information Networks · Computer Science 2020-02-19 Dattatreya Mohapatra , Siddharth Pal , Soham De , Ponnurangam Kumaraguru , Tanmoy Chakraborty

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

Many of the essential features of the evolution of scientific research are imprinted in the structure of citation networks. Connections in these networks imply information about the transfer of knowledge among papers, or in other words,…

Physics and Society · Physics 2014-05-23 Enys Mones , Péter Pollner , Tamás Vicsek

Citation networks represent the flow of information between agents. They are constrained in time and so form directed acyclic graphs which have a causal structure. Here we provide novel quantitative methods to characterise that structure by…

Physics and Society · Physics 2016-10-10 James R. Clough , Tim S. Evans

Collaborations and citations within scientific research grow simultaneously and interact dynamically. Modelling the coevolution between them helps to study many phenomena that can be approached only through combining citation and…

Physics and Society · Physics 2017-09-29 Zheng Xie , Zonglin Xie , Miao Li , Jianping Li , Dongyun Yi

Academic citation graphs represent citation relationships between publications across the full range of academic fields. Top cited papers typically reveal future trends in their corresponding domains which is of importance to both…

Machine Learning · Computer Science 2021-04-07 Daniel Cummings , Marcel Nassar

We introduce a growing network model in which a new node attaches to a randomly-selected node, as well as to all ancestors of the target node. This mechanism produces a sparse, ultra-small network where the average node degree grows…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner

In this paper, we proposed an evolving model via the hypergraph to illustrate the evolution of the citation network. In the evolving model, we consider the mechanism combined with preferential attachment and the aging influence. Simulation…

Physics and Society · Physics 2014-06-05 Feng Hu , Hai-Xing Zhao , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang

The distribution of the number of academic publications as a function of citation count for a given year is remarkably similar from year to year. We measure this similarity as a width of the distribution and find it to be approximately…

Physics and Society · Physics 2015-11-20 S. R. Goldberg , H. Anthony , T. S. Evans

To quantify the mechanism of a complex network growth we focus on the network of citations of scientific papers and use a combination of the theoretical and experimental tools to uncover microscopic details of this network growth. Namely,…

Digital Libraries · Computer Science 2017-02-08 M. Golosovsky , S. Solomon

The potential impact of a paper is often quantified by how many citations it will receive. However, most commonly used models may underestimate the influence of newly published papers over time, and fail to encapsulate this dynamics of…

Digital Libraries · Computer Science 2023-10-17 Guoxiu He , Zhikai Xue , Zhuoren Jiang , Yangyang Kang , Star Zhao , Wei Lu

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

Physics and Society · Physics 2012-12-21 Jiang Zhang

Accurate citation count prediction of newly published papers could help editors and readers rapidly figure out the influential papers in the future. Though many approaches are proposed to predict a paper's future citation, most ignore the…

Digital Libraries · Computer Science 2023-05-30 Hao Geng , Deqing Wang , Fuzhen Zhuang , Xuehua Ming , Chenguang Du , Ting Jiang , Haolong Guo , Rui Liu

Influence network of events is a view of the universe based on events that may be related to one another via influence. The network of events form a partially-ordered set which, when quantified consistently via a technique called chain…

Mathematical Physics · Physics 2024-10-29 Newshaw Bahreyni , Carlo Cafaro , Leonardo Rossetti

Network models with latent geometry have been used successfully in many applications in network science and other disciplines, yet it is usually impossible to tell if a given real network is geometric, meaning if it is a typical element in…

Statistical Mechanics · Physics 2016-05-23 Dmitri Krioukov

For the study of citation networks, a challenging problem is modeling the high clustering. Existing studies indicate that the promising way to model the high clustering is a copying strategy, i.e., a paper copies the references of its…

Physics and Society · Physics 2015-03-19 Fu-Xin Ren , Xue-Qi Cheng , Hua-Wei Shen

We propose a model of the evolution of the networks of scientific citations. The model takes an out-degree distribution (distribution of number of citations) and two parameters as input. The parameters capture the two main ingredients of…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Petter Holme

Real networks often grow through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or…

Physics and Society · Physics 2020-06-30 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

We introduce and analyze a class of growing geometric random graphs that are invariant under rescaling of space and time. Directed connections between nodes are drawn according to influence zones that depend on node position in space and…

Physics and Society · Physics 2016-03-23 Zheng Xie , Tim Rogers
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