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The significance and influence of US Supreme Court majority opinions derive in large part from opinions' roles as precedents for future opinions. A growing body of literature seeks to understand what drives the use of opinions as precedents…

Applications · Statistics 2021-01-19 Christian S. Schmid , Ted Hsuan Yun Chen , Bruce A. Desmarais

Preferential attachment --- by which new nodes attach to existing nodes with probability proportional to the existing nodes' degree --- has become the standard growth model for scale-free networks, where the asymptotic probability of a node…

Adaptation and Self-Organizing Systems · Physics 2014-11-12 Michael Small , Yingying Li , Thomas Stemler , Kevin Judd

This paper presents a statistically sound method for measuring the accuracy with which a probabilistic model reflects the growth of a network, and a method for optimising parameters in such a model. The technique is data-driven, and can be…

Networking and Internet Architecture · Computer Science 2009-04-07 Richard Clegg , Raul Landa , Uli Harder , Miguel Rio

Network science provides an indispensable theoretical framework for studying the structure and function of real complex systems. Different network models are often used for finding the rules that govern their evolution, whereby the correct…

Physics and Society · Physics 2020-09-02 Ana Vranić , Marija Mitrović Dankulov

We analyze whether preferential attachment in scientific coauthorship networks is different for authors with different forms of centrality. Using a complete database for the scientific specialty of research about "steel structures," we show…

Social and Information Networks · Computer Science 2012-02-03 Alireza Abbasi , Liaquat Hossain , Loet Leydesdorff

Motivated by a recently introduced network growth mechanism that rely on the ranking of node prestige measures [S. Fortunato \emph{et al}., Phys. Rev. Lett. \textbf{96}, 218701 (2006)], a rank-based model for weighted network evolution is…

Disordered Systems and Neural Networks · Physics 2015-06-25 Liang Tian , Da-Ning Shi , Chen-Ping Zhu

A citation is a well-established mechanism for connecting scientific artifacts. Citation networks are used by citation analysis for a variety of reasons, prominently to give credit to scientists' work. However, because of current citation…

Information Retrieval · Computer Science 2020-01-17 Tong Zeng , Longfeng Wu , Sarah Bratt , Daniel E. Acuna

There are fundamental differences between citation networks and other classes of graphs. In particular, given that citation networks are directed and acyclic, methods developed primarily for use with undirected social network data may face…

Physics and Society · Physics 2009-08-17 Michael James Bommarito , Daniel Martin Katz , Jon Zelner

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

Statistical Mechanics · Physics 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

In this paper we examine a number of methods for probing and understanding the large-scale structure of networks that evolve over time. We focus in particular on citation networks, networks of references between documents such as papers,…

Physics and Society · Physics 2007-10-18 E. A. Leicht , Gavin Clarkson , Kerby Shedden , M. E. J. Newman

Our work introduces an approach for estimating the contribution of attachment mechanisms to the formation of growing networks. We present a generic model in which growth is driven by the continuous attachment of new nodes according to…

Probability · Mathematics 2019-02-20 Jan Medina , Jorge Finke , Camilo Rocha

In social networking services, users constantly change, and the network structure changes simultaneously. As the network structure changes, so does the word-of-mouth within it. To study how information transfer on the network changes with…

Physics and Society · Physics 2025-02-11 Ryuho Sekikawa , Hiroshi Watanabe

In this paper, we propose an evolving network model growing fast in units of module, based on the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected…

Physics and Society · Physics 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

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

Growing synthetic networks that follow power law distributions of a node's degree often involves adding one node at a time. Each node is added to the network with a fixed amount of edges and those edges are frozen for all future time steps.…

Physics and Society · Physics 2026-01-27 Justin Downes

Modeling complex networks has been the focus of much research for over a decade. Preferential attachment (PA) is considered a common explanation to the self organization of evolving networks, suggesting that new nodes prefer to attach to…

Physics and Society · Physics 2013-06-05 Osnat Mokryn , Marcel Blattner , Yuval Shavitt

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

Social and Information Networks · Computer Science 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

In graph theory and network analysis, node degree is defined as a simple but powerful centrality to measure the local influence of node in a complex network. Preferential attachment based on node degree has been widely adopted for modeling…

Social and Information Networks · Computer Science 2021-03-02 Jiaojiao Jiang , Sanjay Jha

Memory plays a vital role in the temporal evolution of interactions of complex systems. To address the impact of memory on the temporal pattern of networks, we propose a simple preferential connection model, in which nodes have a…

Physics and Society · Physics 2020-01-16 F. Rabbani , T. Khraisha , F. Abbasi , G. R. Jafari

With the evolution of social networks, the network structure shows dynamic nature in which nodes and edges appear as well as disappear for various reasons. The role of a node in the network is presented as the number of interactions it has…

Social and Information Networks · Computer Science 2018-03-02 Shailesh Kumar Jaiswal , Nabajyoti Medhi , Manjish Pal , Mridul Sahu , Prashant Sahu , Amal Dev Sarma