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Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

物理与社会 · 物理学 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

This study introduces the Lower Ricci Curvature (LRC), a novel, scalable, and scale-free discrete curvature designed to enhance community detection in networks. Addressing the computational challenges posed by existing curvature-based…

统计方法学 · 统计学 2024-01-30 Yun Jin Park , Didong Li

Rigidity theory enables us to specify the conditions of unique localizability in the cooperative localization problem of wireless sensor networks. This paper presents a combinatorial rigidity approach to measure (i) generic rigidity and…

系统与控制 · 计算机科学 2015-02-06 Tolga Eren

Critical infrastructure networks are a key ingredient of modern society. We discuss a general method to spot the critical components of a critical infrastructure network, i.e. the nodes and the links fundamental to the perfect functioning…

其他凝聚态物理 · 物理学 2009-11-10 Vito Latora , Massimo Marchiori

Ensuring robustness and resilience in intermodal transportation systems is essential for the continuity and reliability of global logistics. These systems are vulnerable to various disruptions, including natural disasters and technical…

This paper studies real-world road networks from an algorithmic perspective, focusing on empirical studies that yield useful properties of road networks that can be exploited in the design of fast algorithms that deal with geographic data.…

计算几何 · 计算机科学 2009-05-14 David Eppstein , Michael T. Goodrich

Graphical models are frequently used to represent topological structures of various complex networks. Current criteria to assess different models of a network mainly rely on how close a model matches the network in terms of topological…

网络与互联网体系结构 · 计算机科学 2015-03-17 Zhengping Fan , Guanrong Chen , Yunong Zhang

Most complex networks are not static, but evolve along time. Given a specific configuration of one such changing network, it becomes a particularly interesting issue to quantify the diversity of possible unfoldings of its topology. In this…

物理与社会 · 物理学 2019-09-04 Filipi N. Silva , Cesar H. Comin , Luciano da F. Costa

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

系统与控制 · 电气工程与系统科学 2026-03-13 Jaidev Gill , Jing Shuang Li

In order to identify the extent to which results from topological graph models are useful for modeling vulnerability in electricity infrastructure, we measure the susceptibility of power networks to random failures and directed attacks…

物理与社会 · 物理学 2015-03-13 Paul Hines , Eduardo Cotilla-Sanchez , Seth Blumsack

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

物理与社会 · 物理学 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

Research on the robustness of the Internet has gained critical importance in the last decades because more and more individuals, societies and firms rely on this global network infrastructure for communication, knowledge transfer, business…

网络与互联网体系结构 · 计算机科学 2021-03-10 Milena Oehlers , Benjamin Fabian

Dimensionality is one of the most important properties of complex physical systems. However, only recently this concept has been considered in the context of complex networks. In this paper we further develop the previously introduced…

物理与社会 · 物理学 2013-08-19 Filipi Nascimento Silva , Luciano da Fontoura Costa

Modern society heavily relies on strongly connected, socio-technical systems. As a result, distinct risks threatening the operation of individual systems can no longer be treated in isolation. Consequently, risk experts are actively seeking…

风险管理 · 定量金融 2018-02-07 Christos Ellinas , Neil Allan , Caroline Coombe

Networks with higher-order interactions, prevalent in biological, social, and information systems, are naturally represented as hypergraphs, yet their structural complexity poses fundamental challenges for geometric characterization. While…

机器学习 · 计算机科学 2025-06-05 Shiyi Yang , Can Chen , Didong Li

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

社会与信息网络 · 计算机科学 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha

Networks are inherently vulnerable to vertex failures, making the analysis of their structural robustness a fundamental problem in graph theory. In this study, we investigate the closeness and vertex residual closeness of graphs, with a…

离散数学 · 计算机科学 2026-04-14 Hande Tuncel Golpek , Mehmet Ali Bilici , Aysun Aytac

The need for reliable and low-cost infrastructure is crucial in today's world. However, achieving both at the same time is often challenging. Traditionally, infrastructure networks are designed with a radial topology lacking redundancy,…

离散数学 · 计算机科学 2023-08-23 Rotem Brand , Reuven Cohen , Baruch Barzel , Simi Haber

Road networks are a type of spatial network, where edges may be associated with qualitative information such as road type and speed limit. Unfortunately, such information is often incomplete; for instance, OpenStreetMap only has speed…

机器学习 · 计算机科学 2019-11-18 Tobias Skovgaard Jepsen , Christian S. Jensen , Thomas Dyhre Nielsen

We study the robustness of interdependent networks where two networks are said to be interdependent if the operation of one network depends on the operation of the other one, and vice versa. In this paper, we propose a model for analyzing…

社会与信息网络 · 计算机科学 2016-05-05 Marzieh Parandehgheibi , Eytan Modiano