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Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

物理与社会 · 物理学 2018-10-31 Raul J Mondragon

Although most of the real networks contain a mixture of directed and bidirectional (reciprocal) connections, the reciprocity $r$ has received little attention as a subject of theoretical understanding. We study the expected reciprocity of…

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

社会与信息网络 · 计算机科学 2013-11-08 Paolo Boldi , Sebastiano Vigna

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

社会与信息网络 · 计算机科学 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

We report on exact results for the degree $K$, the diameter $D$, the clustering coefficient $C$, and the betweenness centrality $B$ of a hierarchical network model with a replication factor $M$. Such quantities are calculated exactly with…

统计力学 · 物理学 2009-11-07 Jae Dong Noh

The betweenness centrality (BC) is an important quantity for understanding the structure of complex large networks. However, its calculation is in general difficult and known in simple cases only. In particular, the BC has been exactly…

物理与社会 · 物理学 2022-05-18 Vincent Verbavatz , Marc Barthelemy

The structure entropy is an important index to illuminate the structure property of the complex network. Most of the existing structure entropies are based on the degree distribution of the complex network. But the structure entropy based…

社会与信息网络 · 计算机科学 2014-08-27 Qi Zhang , Meizhu Li , Yong Deng

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

数理金融 · 定量金融 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

Street network analysis holds appeal as a tool for the assessment of pedestrian connectivity and its relation to the intensity and mix of land-uses; however, application within urban-design triggers a range of questions on implementary…

物理与社会 · 物理学 2021-07-02 Gareth D. Simons

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

概率论 · 数学 2014-02-03 Nelly Litvak , Remco van der Hofstad

In ATM systems, the massive number of interacting entities makes it difficult to identify critical elements and paths of disturbance propagation, as well as to predict the system-wide effects that innovations might have. To this end,…

物理与社会 · 物理学 2021-05-07 Piero Mazzarisi , Silvia Zaoli , Fabrizio Lillo , Luis Delgado , Gérald Gurtner

Recent studies have shown that a system composed from several randomly interdependent networks is extremely vulnerable to random failure. However, real interdependent networks are usually not randomly interdependent, rather a pair of…

数据分析、统计与概率 · 物理学 2015-05-20 Roni Parshani , Celine Rozenblat , Daniele Ietri , Cesar Ducruet , Shlomo Havlin

I compare several network-level measures of centrality to common measures of author reputation and influence (e.g. hindex, i10index), all taken over the data set of papers published in 2017 at major computer systems conferences and some…

数字图书馆 · 计算机科学 2020-01-09 Henry Blanchette

The bivariate distribution of degrees of adjacent vertices (degree-degree distribution) is an important network characteristic defining the statistical dependencies between degrees of adjacent vertices. We show the asymptotic degree-degree…

概率论 · 数学 2017-01-05 Mindaugas Bloznelis

Nestedness is a property of interaction networks widely observed in natural mutualistic communities. Despite a widespread interest on this pattern, no general consensus exists on how to measure it. Instead, several metrics aiming at…

物理与社会 · 物理学 2020-02-04 Claudia Payrato-Borras , Laura Hernandez , Yamir Moreno

The degree-degree correlation is important in understanding the structural organization of a network and the dynamics upon a network. Such correlation is usually measured by the assortativity coefficient $r$, with natural bounds $r \in…

物理与社会 · 物理学 2017-04-26 Dan Yang , Liming Pan , Tao Zhou

Group centrality measures are a generalization of standard centrality, designed to quantify the importance of not just a single node (as is the case with standard measures) but rather that of a group of nodes. Some nodes may have an…

社会与信息网络 · 计算机科学 2023-12-18 Marcin Waniek , Talal Rahwan

It appeared recently that the underlying degree distribution of networks may play a crucial role concerning their robustness. Empiric and analytic results have been obtained, based on asymptotic and mean-field approximations. Previous work…

统计力学 · 物理学 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

A citation-based indicator for interdisciplinarity has been missing hitherto among the set of available journal indicators. In this study, we investigate network indicators (betweenness centrality), journal indicators (Shannon entropy, the…

数字图书馆 · 计算机科学 2010-09-22 Loet Leydesdorff , Ismael Rafols

We study the emergence of coherence in complex networks of mutually coupled non-identical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, on the isolated dynamics of the elements and the…

适应与自组织系统 · 物理学 2013-08-09 Tiago Pereira , Deniz Eroglu , G. B. Bagci , U. Tirnakli , Henrik J. Jensen