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Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

Social and Information Networks · Computer Science 2014-02-04 Burcu Kantarcı , Vincent Labatut

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Giacomo Baggio , Marco Fabris

Central nodes are critical in establishing structural connectivity in a complex network. Attacking such nodes can create real havoc in a complex system. We propose attack strategies based on four types of centers, namely betweenness center,…

Social and Information Networks · Computer Science 2018-12-13 Divya Sindhu Lekha , Kannan Balakrishnan

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

We propose a new method to recover global information about a network of interconnected dynamical systems based on observations made at a small number (possibly one) of its nodes. In contrast to classical identification of full graph…

Dynamical Systems · Mathematics 2016-10-18 A. Mauroy , J. Hendrickx

Recently, neural network architectures have been developed to accommodate when the data has the structure of a graph or, more generally, a hypergraph. While useful, graph structures can be potentially limiting. Hypergraph structures in…

Algebraic Topology · Mathematics 2020-12-14 Eric Bunch , Qian You , Glenn Fung , Vikas Singh

Simplicial complexes are a popular tool used to model higher-order interactions between elements of complex social and biological systems. In this paper, we study some combinatorial aspects of a class of simplicial complexes created by a…

Combinatorics · Mathematics 2023-05-17 Zixuan Xie , Yucheng Wang , Wanyue Xu , Liwang Zhu , Wei Li , Zhongzhi Zhang

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

Social and Information Networks · Computer Science 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

A novel approach to analyze statistically the network traffic raw data is proposed. The huge amount of raw data of actual network traffic from the Intrusion Detection System is analyzed to determine if a traffic is a normal or harmful one.…

Cryptography and Security · Computer Science 2014-05-29 A. A. Waskita , H. Suhartanto , P. D. Persadha , L. T. Handoko

Modularity is designed to measure the strength of division of a network into clusters (known also as communities). Networks with high modularity have dense connections between the vertices within clusters but sparse connections between…

Probability · Mathematics 2017-07-18 Liudmila Ostroumova Prokhorenkova , Pawel Pralat , Andrei Raigorodskii

The past two decades have seen significant successes in our understanding of complex networked systems, from the mapping of real-world social, biological and technological networks to the establishment of generative models recovering their…

An approach for real-time network monitoring in terms of numerical time-dependant functions of protocol parameters is suggested. Applying complex systems theory for information f{l}ow analysis of networks, the information traffic is…

Cryptography and Security · Computer Science 2007-05-23 Vladimir Gudkov , Joseph E. Johnson

In intrusion detection systems, classifiers still suffer from several drawbacks such as data dimensionality and dominance, different network feature types, and data impact on the classification. In this paper two significant enhancements…

Cryptography and Security · Computer Science 2012-12-12 Maher Salem , Ulrich Buehler

Graphs are commonly used in mathematics to represent some relationships between items. However, as simple objects, they sometimes fail to capture all relevant aspects of real-world data. To address this problem, we generalize them and model…

Social and Information Networks · Computer Science 2019-10-04 Pimprenelle Parmentier , Tiphaine Viard , Benjamin Renoust , Jean-François Baffier

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

There are several applications that benefit from a definition of centrality which is applicable to sets of vertices, rather than individual vertices. However, existing definitions might not be able to help us in answering several network…

Social and Information Networks · Computer Science 2020-10-05 Mostafa Haghir Chehreghani

Network intrusion detection sensors are usually built around low level models of network traffic. This means that their output is of a similarly low level and as a consequence, is difficult to analyze. Intrusion alert correlation is the…

Cryptography and Security · Computer Science 2010-07-05 Gianni Tedesco , Uwe Aickelin

Many real-world applications give rise to large heterogeneous networks where nodes and edges can be of any arbitrary type (e.g., user, web page, location). Special cases of such heterogeneous graphs include homogeneous graphs, bipartite,…

Social and Information Networks · Computer Science 2019-05-14 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Topological data analysis can extract effective information from higher-dimensional data. Its mathematical basis is persistent homology. The persistent homology can calculate topological features at different spatiotemporal scales of the…

Algebraic Topology · Mathematics 2023-09-29 Dinghua Shi , Zhifeng Chen , Chuang Ma , Guanrong Chen

With the development of incipient technologies, user devices becoming more exposed and ill-used by foes. In upcoming decades, traditional security measures will not be sufficient enough to handle this huge threat towards distributed…

Cryptography and Security · Computer Science 2019-02-13 Md Mehedi Hassan Onik , Nasr Al-Zaben , Hung Phan Hoo , Chul-Soo Kim
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