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Researchers have proposed a variety of Internet topology models. However almost all of them focus on generating one graph based on one single static source graph. On the other hand, Internet topology is evolving over time continuously with…

Networking and Internet Architecture · Computer Science 2008-12-31 Lian-dong Liu , Ke Xu

Internet mapping projects generally consist in sampling the network from a limited set of sources by using traceroute probes. This methodology, akin to the merging of spanning trees from the different sources to a set of destinations, leads…

Networking and Internet Architecture · Computer Science 2011-11-09 Fabien Viger , Alain Barrat , Luca Dall'Asta , Cun-Hui Zhang , Eric D. Kolaczyk

Recent technological advancements have resulted in a surge in online trading, raising severe concerns about theft and fraud, especially on platforms like Bitcoin OTC (over-the-counter), where users' identities remain anonymous. To mitigate…

Social and Information Networks · Computer Science 2021-08-20 Harsh Patel , Shivam Sahni , Pushkar Mujumdar

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

Graph rewiring has emerged as a key technique to alleviate over-squashing in Graph Neural Networks (GNNs) and Graph Transformers by modifying the graph topology to improve information flow. While effective, rewiring inherently alters the…

Machine Learning · Computer Science 2025-10-24 Alexandre Benoit , Catherine Aitken , Yu He

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

Physics and Society · Physics 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Understanding and characterizing the vulnerability of urban infrastructures, which refers to the engineering facilities essential for the regular running of cities and that exist naturally in the form of networks, is of great value to us.…

Machine Learning · Computer Science 2023-08-02 Jinzhu Mao , Liu Cao , Chen Gao , Huandong Wang , Hangyu Fan , Depeng Jin , Yong Li

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

Dynamical Systems · Mathematics 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla

In weighted graphs the shortest path between two nodes is often reached through an indirect path, out of all possible connections, leading to structural redundancies which play key roles in the dynamics and evolution of complex networks. We…

Social and Information Networks · Computer Science 2023-06-14 Felipe Xavier Costa , Rion Brattig Correia , Luis M. Rocha

Critical infrastructures form a technological skeleton of our world by providing us with water, food, electricity, gas, transportation, communication, banking, and finance. Moreover, as urban population increases, the role of…

Physics and Society · Physics 2017-01-04 Konstantin Zuev , Michael Beer

The website network of a tourism destination is examined. Network theoretic metrics are used to gauge the static and dynamic characteristics of the webspace. The topology of the network is found partly similar to the one exhibited by…

Physics and Society · Physics 2009-11-11 Rodolfo Baggio

Network sampling is integral to the analysis of social, information, and biological networks. Since many real-world networks are massive in size, continuously evolving, and/or distributed in nature, the network structure is often sampled in…

Social and Information Networks · Computer Science 2012-11-16 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

Computer networks have been traditionally configured by humans using command-line interfaces. Some network abstractions have emerged in the last 10 years, but there is no easy way of comparing them to each other objectively. Therefore,…

Networking and Internet Architecture · Computer Science 2023-08-02 Jose Moreno

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

Chaotic Dynamics · Physics 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

This article investigates the connectivity dimension of a graph. We introduce this concept in analogy to the metric dimension of a graph, providing a graph parameter that measures the heterogeneity of the connectivity structure of a graph.…

Combinatorics · Mathematics 2025-08-14 Kurt Klement Gottwald , Tobias Hofmann