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The effects of link rewiring are considered for the class of directed networks where each node has the same fixed out-degree. We model a network generated by three mechanisms that are present in various networked systems; growth, global…

物理与社会 · 物理学 2015-06-22 Ewan R. Colman , Geoff J. Rodgers

In the real world, the stable operation of a network is usually inseparable from the mutual support of other networks. In such an interdependent network, a node in one layer may depend on multiple nodes in another layer, forming a complex…

社会与信息网络 · 计算机科学 2025-09-30 Cheng Qian , Dandan Zhao , Bo Zhang , Ming Zhong , Jianmin Han , Shenghong Li , Hao Peng , Wei Wang

We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular network of networks each with $(i)$ unconstrained interdependent…

物理与社会 · 物理学 2015-06-18 Louis M. Shekhtman , Yehiel Berezin , Michael M. Danziger , Shlomo Havlin

We consider the Degree-Bounded Survivable Network Design Problem: the objective is to find a minimum cost subgraph satisfying the given connectivity requirements as well as the degree bounds on the vertices. If we denote the upper bound on…

数据结构与算法 · 计算机科学 2010-07-08 Anand Louis , Nisheeth Vishnoi

Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's…

系统与控制 · 电气工程与系统科学 2021-04-22 Juntao Chen , Yunhan Huang , Rui Zhang , Quanyan Zhu

With a simple attack and repair evolution model, we investigate the stability and structural changes of the Erdos-Renyi random graphs (RG) and Barabasi-Albert scale-free (SF) networks. We introduce a new quantity, invulnerability I(s), to…

统计力学 · 物理学 2007-05-23 L. P. Chi , C. B. Yang , X. Cai

Coping with network failures has been recognized as an issue of major importance in terms of social security, stability and prosperity. It has become clear that current networking standards fall short of coping with the complex challenge of…

网络与互联网体系结构 · 计算机科学 2016-09-01 Jose Yallouz , Ariel Orda

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

社会与信息网络 · 计算机科学 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

We investigate the behavior of two dimensional resistor networks, with finite sizes and different kinds (rectangular, hexagonal, and triangular) of lattice geometry. We construct the network by having a network-element repeat itself $L_x$…

经典物理 · 物理学 2020-12-30 Rajat Chandra Mishra , Himadri Barman

An important problem in evolutionary biology is to reconstruct the evolutionary history of a set $X$ of species. This history is often represented as a phylogenetic network, that is, a connected graph with leaves labelled by elements in $X$…

组合数学 · 数学 2017-02-01 Leo van Iersel , Vincent Moulton

One of the most important features of spatial networks such as transportation networks, power grids, Internet, neural networks, is the existence of a cost associated with the length of links. Such a cost has a profound influence on the…

物理与社会 · 物理学 2013-06-04 Rémi Louf , Pablo Jensen , Marc Barthelemy

Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

分布式、并行与集群计算 · 计算机科学 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta

We focus on robust, survivable communication networks, where network links and nodes are affected by an uncertainty set. In this sense, any network links might fail. Besides, a signal can only travel a maximum distance before its quality…

网络与互联网体系结构 · 计算机科学 2026-02-12 Mohammad Khosravi , Setareh Maghsudi

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

数据结构与算法 · 计算机科学 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

We introduce a heterogeneous connection model for network formation to capture the effect of cost heterogeneity on the structure of efficient networks. In the proposed model, connection costs are assumed to be separable, which means the…

经济学 · 定量金融 2015-12-14 Babak Heydari , Mohsen Mosleh , Kia Dalili

This paper re-introduces the network reliability polynomial - introduced by Moore and Shannon in 1956 -- for studying the effect of network structure on the spread of diseases. We exhibit a representation of the polynomial that is…

物理与社会 · 物理学 2013-11-27 Mina Youssef , Yasamin Khorramzadeh , Stephen Eubank

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

Many complex systems may be described not by one, but by a number of complex networks mapped one on the other in a multilayer structure. The interactions and dependencies between these layers cause that what is true for a distinct single…

物理与社会 · 物理学 2010-10-12 Maciej Kurant , Patrick Thiran

Flexible network design deals with building a network that guarantees some connectivity requirements between its vertices, even when some of its elements (like vertices or edges) fail. In particular, the set of edges (resp. vertices) of a…

数据结构与算法 · 计算机科学 2024-04-16 Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanita

An epidemic spreading in a network calls for a decision on the part of the network members: They should decide whether to protect themselves or not. Their decision depends on the trade-off between their perceived risk of being infected and…

系统与控制 · 计算机科学 2015-03-17 George Theodorakopoulos , Jean-Yves Le Boudec , John S. Baras