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Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely…

物理与社会 · 物理学 2012-06-11 Stefano Cardanobile , Volker Pernice , Moritz Deger , Stefan Rotter

A crisp survey is given of chemical reaction networks from the perspective of general nonlinear network dynamics, in particular of consensus dynamics. It is shown how by starting from the complex-balanced assumption the reaction dynamics…

动力系统 · 数学 2015-02-10 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

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…

社会与信息网络 · 计算机科学 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

A model for directed networks is proposed and power laws for their in-degree and/or out-degree distributions are derived from the model. It is based on the Barabasi-Albert model and contains two parameters. The parameters serve as…

物理与社会 · 物理学 2009-12-16 Shinji Tanimoto

The energy-delay tradeoffs in wireless networks are studied using a game-theoretic framework. A multi-class multiple-access network is considered in which users choose their transmit powers, and possibly transmission rates, in a distributed…

信息论 · 计算机科学 2007-07-13 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Radu V. Balan

Due to their slow gas flow dynamics, natural gas pipelines function as short-term storage, the so-called linepack. By efficiently utilizing linepack, the natural gas system can provide flexibility to the power system through the flexible…

系统与控制 · 电气工程与系统科学 2024-11-22 Enrica Raheli , Yannick Werner , Jalal Kazempour

Existing information-theoretic frameworks based on maximum entropy network ensembles are not able to explain the emergence of heterogeneity in complex networks. Here, we fill this gap of knowledge by developing a classical framework for…

物理与社会 · 物理学 2020-07-08 Filippo Radicchi , Dmitri Krioukov , Harrison Hartle , Ginestra Bianconi

Power packet is a unit of electric power transferred by a power pulse with an information tag. In Shannon's information theory, messages are represented by symbol sequences in a digitized manner. Referring to this formulation, we define…

系统与控制 · 计算机科学 2018-07-04 Shinya Nawata , Atsuto Maki , Takashi Hikihara

We investigate urban street networks as a whole within the frameworks of information physics and statistical physics. Urban street networks are envisaged as evolving social systems subject to a logarithmical entropic equilibrium.

物理与社会 · 物理学 2019-01-07 Jerome Benoit , Saif Eddin Jabari

Air transport is a key infrastructure of modern societies. In this paper we review some recent approaches to air transport, which make extensive use of theory of complex networks. We discuss possible networks that can be defined for the air…

物理与社会 · 物理学 2015-06-15 Massimiliano Zanin , Fabrizio Lillo

Wireless networking allows users to access information and services regardless of location and physical infrastructure. It is a fast growing technology due to its availability of wireless devices, flexibility, ease of installation and…

网络与互联网体系结构 · 计算机科学 2017-03-29 Ahmed Mateen , Sammar Abbas

We propose an information theoretic model for sociological networks. The model is a microcanonical ensemble of states and particles. The states are the possible pairs of nodes (i.e. people, sites and alike) which exchange information. The…

信息论 · 计算机科学 2014-07-31 Oded Kafri

The threshold network model is a type of finite random graphs. In this paper, we introduce a generalized threshold network model. A pair of vertices with random weights is connected by an edge when real-valued functions of the pair of…

概率论 · 数学 2010-10-12 Yusuke Ide , Norio Konno , Naoki Masuda

A prominent model for transportation networks is branched transport, which seeks the optimal transportation scheme to move material from a given initial to a final distribution. The cost of the scheme encodes a higher transport efficiency…

经典分析与常微分方程 · 数学 2020-09-04 Alessio Brancolini , Benedikt Wirth

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

统计力学 · 物理学 2015-06-25 David Andrieux , Pierre Gaspard

Almost all network research has been focused on the properties of a single network that does not interact and depends on other networks. In reality, many real-world networks interact with other networks. Here we develop an analytical…

数据分析、统计与概率 · 物理学 2011-11-09 Jianxi Gao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

The common linear optimal power flow (LOPF) formulation that underlies most transmission expansion planning (TEP) formulations uses bus voltage angles as auxiliary optimization variables to describe Kirchhoff's voltage law. As well as…

系统与控制 · 电气工程与系统科学 2020-09-25 Fabian Neumann , Tom Brown

We study a notion of cross ratios on metric graphs and electrical networks. We show that several known results immediately follow from the basic properties of cross ratios. We show that the projection matrices of Kirchhoff have nice (and…

组合数学 · 数学 2018-10-08 Robin de Jong , Farbod Shokrieh

In the current analog grid, power is available at all times, to all users, indiscriminately. This makes the grid vulnerable to demand fluctuations and much effort has been invested to mitigate their effect. The Digital Power Network (DPN)…

网络与互联网体系结构 · 计算机科学 2017-02-09 Camila Fukuda , Henrique Pita , Roberto Rojas-Cessa , Haim Grebel

What makes economic and ecological networks so unlike other highly skewed networks in their tendency toward turbulence and collapse? Here, we explore the consequences of a defining feature of these networks: their nodes are tied together by…

物理与社会 · 物理学 2013-08-06 Jesse Shore , Catherine J. Chu , Matt T. Bianchi