Topic
Network theory
About: Network theory is a research topic. Over the lifetime, 2257 publications have been published within this topic receiving 109864 citations.
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TL;DR: An analysis of vital node (area) in vulnerability environment indicates that the importance of network components critically depends on the economic development level, population density, and geographical features in the corresponding city.
Abstract: In this paper, we utilize network theory to model and study the coupled high-speed rail–aviation network (HSR–AN) in China. The HSR–AN depicting the transport services is modelled as a transfer network in P-space (TNP) in this research. The basic topology properties of the TNP and the corresponding critical components (e.g., nodes and areas) are analysed. As one type of spatial networks coupled two transportation networks, TNP of HSR–AN, counterintuitively, exhibits small-world properties which can be attributed by offering service connecting long-distance cities without transfer and complementary relationship between two transport modes. Additionally, an analysis of vital node (area) in vulnerability environment indicates that the importance of network components critically depends on the economic development level, population density, and geographical features in the corresponding city. Besides, the failure of high-speed rail station generates worse effect than that on airport in HSR–ANs. The findings are beneficial for enhancing the efficiency of HSR–ANs and developing emergency response plans for transport managers.
5 citations
01 May 2013
TL;DR: This work shows that the power law structure also exists in logistic map, which is represented by a network that has the characteristics of being a scale-free network, i.e., some node has high degree more than others.
Abstract: In this work we propose a new approach to transform a time series of logistic map to network. The power law is known widespread in physics, social network analysis. This work shows that the power law structure also exists in logistic map. A logistic map is represented by a network; node is interval of y-axis, and link is a relation of time step. This network is shown to have the characteristics of being a scale-free network, i.e., some node has high degree more than others. Based on the network theory, we introduce new concept of logistic map.
5 citations
TL;DR: A number of relations between the values of the global, the local and the external Q-measure and betweenness centrality are proved, and it is shown that this is only possible in a limited number of very specific circumstances.
5 citations
TL;DR: This paper demonstrates the utility and merit of the proposed Hyperfield Cognition Network by presenting two case studies, the first of which investigates the fuel efficiency of various automobiles and the second of which models the residuary resistance per unit weight of displacement of ships.
5 citations
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TL;DR: In this article, the authors define a measure of network cohesion and show how it arises naturally in a broad class of dynamic models of endogenous perpetual growth with network externalities, and explain why network cohesion is crucial for conditional convergence and explain that as cohesion increases, convergence is faster.
Abstract: We define a measure of network cohesion and show how it arises naturally in a broad class of dynamic models of endogenous perpetual growth with network externalities. Via a standard growth model, we show why network cohesion is crucial for conditional convergence and explain that as cohesion increases, convergence is faster. We prove properties of network cohesion and define a network aggregator that preserves network cohesion.
5 citations