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We propose two spectral algorithms for partitioning nodes in directed graphs respectively with a cyclic and an acyclic pattern of connection between groups of nodes. Our methods are based on the computation of extremal eigenvalues of the…

Data Structures and Algorithms · Computer Science 2018-05-09 H. Van Lierde , T. W. S. Chow , J. -C. Delvenne

Hypergraphs have seen widespread application in network and data science communities in recent years. We present a survey of recent work to construct auxiliary structures from hypergraphs -- specifically simplicial, relative, and chain…

Algebraic Topology · Mathematics 2025-10-14 Ellen Gasparovic , Emilie Purvine , Radmila Sazdanovic , Bei Wang , Yusu Wang , Lori Ziegelmeier

Power grids are becoming more digitized, resulting in new opportunities for the grid operation but also new challenges, such as new threats from the cyber-domain. To address these challenges, cybersecurity solutions are being considered in…

Cryptography and Security · Computer Science 2023-12-22 Ömer Sen , Philipp Malskorn , Simon Glomb , Immanuel Hacker , Martin Henze , Andreas Ulbig

Detecting intrusions in network traffic is a challenging task, particularly under limited supervision and constantly evolving attack patterns. While recent works have leveraged graph neural networks for network intrusion detection, they…

Machine Learning · Computer Science 2025-12-23 Lorenzo Guerra , Thomas Chapuis , Guillaume Duc , Pavlo Mozharovskyi , Van-Tam Nguyen

In the present paper a novel graph-based approach to the shape decomposition problem is addressed. The shape is appropriately transformed into a visibility graph enriched with local neighborhood information. A two-step diffusion process is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Foteini Fotopoulou , George Economou

Many current approaches to the design of intrusion detection systems apply feature selection in a static, non-adaptive fashion. These methods often neglect the dynamic nature of network data which requires to use adaptive feature selection…

Cryptography and Security · Computer Science 2018-06-18 Buse Gul Atli , Alexander Jung

In this work we introduce a concept of complexity for undirected graphs in terms of the spectral analysis of the Laplacian operator defined by the incidence matrix of the graph. Precisely, we compute the norm of the vector of eigenvalues of…

Information Theory · Computer Science 2022-03-23 Diego M. Mateos , Federico Morana , Hugo Aimar

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

In this paper, we analyze existing feature selection methods to identify the key elements of network traffic data that allow intrusion detection. In addition, we propose a new feature selection method that addresses the challenge of…

Cryptography and Security · Computer Science 2021-06-30 Firuz Kamalov , Sherif Moussa , Rita Zgheib , Omar Mashaal

Higher-order structures, consisting of more than two individuals, provide a new perspective to reveal the missed non-trivial characteristics under pairwise networks. Prior works have researched various higher-order networks, but research…

Physics and Society · Physics 2023-09-07 Rongmei Yang , Fang Zhou , Bo Liu , Linyuan Lü

Graphs are a powerful way to model interactions and relationships in data from a wide variety of application domains. In this setting, entities represented by vertices at the "center" of the graph are often more important than those…

Social and Information Networks · Computer Science 2014-11-06 Michael P. O'Brien , Blair D. Sullivan

In distributed systems, knowledge of the network structure of the connections among the unitary components is often a requirement for an accurate prediction of the emerging collective dynamics. However, in many real-world situations, one…

Physics and Society · Physics 2025-03-21 Yin-Jie Ma , Zhi-Qiang Jiang , Fanshu Fang , Charo I. del Genio , Stefano Boccaletti

The analysis of the dynamics on complex networks is closely connected to structural features of the networks. Features like, for instance, graph-cores and node degrees have been studied ubiquitously. Here we introduce the D-spectrum of a…

Combinatorics · Mathematics 2019-12-17 Ricky X. F. Chen , Christian M. Reidys , Andrei C. Bura

Through purposeful introduction of malicious transactions (tracking transactions) into randomly select nodes of a (database) graph, soiled and clean segments are identified. Soiled and clean measures corresponding those segments are then…

Databases · Computer Science 2008-04-27 Prashanth Alluvada

The identification of vertices that play a central role in network analysis is a fundamental challenge. Although traditional centrality measures have been extensively employed for this purpose, the increasing complexity of modern networks…

Combinatorics · Mathematics 2026-01-07 Taiki Yamada

Several approaches can be employed to counter pervasive monitoring at large scale on the Internet. One category of approaches aims to harden the current Internet architecture and to increase the security of high profile targets (data…

Networking and Internet Architecture · Computer Science 2014-02-12 Emmanuel Baccelli , Oliver Hahm , Matthias Wählisch

With the recent advances in complex networks theory, graph-based techniques for image segmentation has attracted great attention recently. In order to segment the image into meaningful connected components, this paper proposes an image…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Youssef Mourchid , Mohammed El Hassouni , Hocine Cherifi

It has been shown that many complex networks shared distinctive features, which differ in many ways from the random and the regular networks. Although these features capture important characteristics of complex networks, their applicability…

Physics and Society · Physics 2009-11-11 Chang-Yong Lee , Sunghwan Jung

The mining and exploitation of graph structural information have been the focal points in the study of complex networks. Traditional structural measures in Network Science focus on the analysis and modelling of complex networks from the…

Social and Information Networks · Computer Science 2023-06-21 Mingshan Jia , Bogdan Gabrys , Katarzyna Musial

Symmetries are an essential feature of complex networks as they regulate how the graph collective dynamics organizes into clustered states. We here show how to control network symmetries, and how to enforce patterned states of…

Physics and Society · Physics 2020-11-24 L. V. Gambuzza , M. Frasca , F. Sorrentino , L. M. Pecora , S. Boccaletti