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There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

Physics and Society · Physics 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu

The hierarchical small-world network is a real-world network. It models well the benefit transmission web of the pyramid selling in China and many other countries. In this paper, by applying the spectral graph theory, we study three…

Methodology · Statistics 2023-03-23 Yunhua Liao , Mohamed Maama , M. A. Aziz-Alaoui

This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

Interplanetary Filesystem (IPFS) is one of the largest peer-to-peer filesystems in operation. The network is the default storage layer for Web3 and is being presented as a solution to the centralization of the web. In this paper, we present…

Networking and Internet Architecture · Computer Science 2023-10-03 Leonhard Balduf , Maciej Korczyński , Onur Ascigil , Navin V. Keizer , George Pavlou , Björn Scheuermann , Michał Król

The modern era always looks into advancements in technology. Design and topology of interconnection networks play a mutual role in development of technology. Analysing the topological properties and characteristics of an interconnection…

Networking and Internet Architecture · Computer Science 2024-11-08 Parvez Ali , Annmaria Baby , D. Antony Xavier , Eddith Sarah Varghese , Theertha Nair A. , Haidar Ali

We study the topology of e-mail networks with e-mail addresses as nodes and e-mails as links using data from server log files. The resulting network exhibits a scale-free link distribution and pronounced small-world behavior, as observed in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Holger Ebel , Lutz-Ingo Mielsch , Stefan Bornholdt

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

Characterizing the connectivity tendency of a network is a fundamental problem in network science. The traditional and well-known assortativity coefficient is calculated on a per-network basis, which is of little use to partial connection…

Physics and Society · Physics 2013-01-01 Guo-Qing Zhang , Su-Qi Cheng , Guo-Qiang Zhang

Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimization and graph signal processing, to identify the…

Social and Information Networks · Computer Science 2016-04-12 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

The successful integration of graph neural networks into recommender systems (RSs) has led to a novel paradigm in collaborative filtering (CF), graph collaborative filtering (graph CF). By representing user-item data as an undirected,…

It is widely believed that the Internet's AS-graph degree distribution obeys a power-law form. Most of the evidence showing the power-law distribution is based on BGP data. However, it was recently argued that since BGP collects data in a…

Networking and Internet Architecture · Computer Science 2007-05-23 Reuven Cohen , Mira Gonen , Avishai Wool

In this paper we present a generalized model for network growth that links the microscopical agent strategies with the large scale behavior. This model is intended to reproduce the largest number of features of the Internet network at the…

Statistical Mechanics · Physics 2007-05-23 Guido Caldarelli , Paolo De Los Rios , Luciano Pietronero

In this paper we theoretically and empirically study the degree and connectivity of the Internet's scale-free topology at the autonomous system (AS) level. The basic features of the scale-free network have influence on the normalization…

Networking and Internet Architecture · Computer Science 2011-06-03 Lianming Zhang , Xiaoheng Deng , Jianping Yu , Xiangsheng Wu

Aligning protein interaction networks (PPI) of two or more organisms consists of finding a mapping of the nodes (proteins) of the networks that captures important structural and functional associations (similarity). It is a well studied but…

Molecular Networks · Quantitative Biology 2020-10-12 Concettina Guerra , Pietro Hiram Guzzi

We conduct a local stability and Hopf bifurcation analysis for Compound TCP, with small Drop-tail buffers, in three topologies. The first topology consists of two sets of TCP flows having different round trip times, and feeding into a core…

Dynamical Systems · Mathematics 2016-04-20 Debayani Ghosh , Krishna Jagannathan , Gaurav Raina

The dominant understanding of Internet censorship posits that blocking access to foreign-based websites creates isolated communities of Internet users. We question this discourse for its assumption that if given access people would use all…

Computers and Society · Computer Science 2016-03-11 Harsh Taneja , Angela Xiao Wu

Distributed quantum information in networks is paramount for global secure quantum communication. Moreover, it finds applications as a resource for relevant tasks, such as clock synchronization, magnetic field sensing, and blind quantum…

A new type of collective excitations, due exclusively to the topology of a complex random network that can be characterized by a fractal dimension $D_F$, is investigated. We show analytically that these excitations generate phase…

Statistical Mechanics · Physics 2015-12-21 Felipe Torres , Jose Rogan , Miguel Kiwi , Juan Alejandro Valdivia

The type of business relationships between the Internet autonomous systems (AS) determines the BGP inter-domain routing. Previous works on inferring AS relationships relied on the connectivity information between ASes. In this paper we…

Networking and Internet Architecture · Computer Science 2011-08-04 Vasileios Giotsas , Shi Zhou

We provide a phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is assigned to the different network topologies and temperature is used as a quantity referring to…

Statistical Mechanics · Physics 2016-08-31 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek
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