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It is becoming increasingly common to see large collections of network data objects -- that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based…

Statistics Theory · Mathematics 2019-02-08 Eric Kolaczyk , Lizhen Lin , Steven Rosenberg , Jie Xu , Jackson Walters

Clustering network is one of which complex network attracting plenty of scholars to discuss and study the structures and cascading process. We primarily analyzed the effect of clustering coefficient to other various of the single clustering…

Physics and Society · Physics 2016-10-18 Gaogao Dong , Huifang Hao , Ruijin Du , Shuai Shao , H. Eugene. Stanley , Havlin Shlomo

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

Social and Information Networks · Computer Science 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Many networks exhibit the small-world property of the neighborhood connectivity being higher than in comparable random networks. However, the standard measure of local neighborhood clustering is typically not defined if a node has one or no…

Physics and Society · Physics 2008-08-30 Marcus Kaiser

Many real networks are complex and have power-law vertex degree distribution, short diameter, and high clustering. We analyze the network model based on thresholding of the summed vertex weights, which belongs to the class of networks…

Other Condensed Matter · Physics 2007-05-23 Naoki Masuda , Hiroyoshi Miwa , Norio Konno

Clustering coefficient is one of the most important metrics to understand the complex structure of networks. This paper addresses the estimation of clustering coefficient in network streams. There have been substantial work in this area,…

Social and Information Networks · Computer Science 2018-11-06 Roohollah Etemadi , Jianguo Lu

Clustering coefficient is one of the most useful indices in complex networks. However, graph theoretic properties of this metric have not been discussed much in the literature, especially in graphs resulting from some binary operations. In…

Combinatorics · Mathematics 2022-04-20 Remarl Joseph M. Damalerio , Rolito G. Eballe

The global clustering coefficient serves as a powerful metric for the structural analysis and comparison of complex networks. Random geometric graphs offer a realistic framework for representing the spatial constraints and geometry often…

Statistics Theory · Mathematics 2026-02-23 Mingao Yuan , Md. Niamul Islam Sium

For most technical networks, the interplay of dynamics, traffic and topology is assumed crucial to their evolution. In this paper, we propose a traffic-driven evolution model of weighted technological networks. By introducing a general…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Gang Yan , Qing Ou , Bing-Hong Wang

We derive a class of generalized statistics, unifying the Bose and Fermi ones, that describe any system where the first-occupation energies or probabilities are different from subsequent ones, as in presence of thresholds, saturation, or…

Physics and Society · Physics 2009-01-23 Diego Garlaschelli , Maria I. Loffredo

In Network Science node neighbourhoods, also called ego-centered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how,…

Physics and Society · Physics 2019-08-22 Alexander P. Kartun-Giles , Ginestra Bianconi

Relations between average clustering coefficient and global clustering coefficient, local efficiency, radiality, closeness, betweenness and stress centralities were obtained for simple graphs.

Social and Information Networks · Computer Science 2024-12-03 Mikhail Tuzhilin

We study here the clustering of directed social graphs. The clustering coefficient has been introduced to capture the social phenomena that a friend of a friend tends to be my friend. This metric has been widely studied and has shown to be…

Social and Information Networks · Computer Science 2020-08-04 Thibaud Trolliet , Nathann Cohen , Frédéric Giroire , Luc Hogie , Stéphane Pérennes

The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with…

Statistical Mechanics · Physics 2007-07-18 Illes J. Farkas , Daniel Abel , Gergely Palla , Tamas Vicsek

In this paper we introduce a new model of data packet transport, based on a stochastic approach with the aim of characterizing the load distribution on complex networks. Moreover we analyze the load standard deviation as an index of…

Statistical Mechanics · Physics 2007-05-23 M. di Bernardo , F. Garofalo , S. Manfredi , F. Sorrentino

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

The main goal of this article is to introduce new quantitative characteristics of cycles in finite simple connected graphs and to establish relations of these characteristics with the stretch and spanning tree congestion of graphs. The main…

We propose a novel measure of degree heterogeneity, for unweighted and undirected complex networks, which requires only the degree distribution of the network for its computation. We show that the proposed measure can be applied to all…

Physics and Society · Physics 2017-10-03 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

Many real-world networks display a natural bipartite structure. It is necessary and important to study the bipartite networks by using the bipartite structure of the data. Here we propose a modification of the clustering coefficient given…

Physics and Society · Physics 2009-11-13 Peng Zhang , Jinliang Wang , Xiaojia Li , Zengru Di , Ying Fan

In this paper we aim to demonstrate how physical perspective enriches usual statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public…

Physics and Society · Physics 2020-03-24 Yaryna Korduba , Yurij Holovatch , Robin de Regt
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