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Network theory

About: Network theory is a research topic. Over the lifetime, 2257 publications have been published within this topic receiving 109864 citations.


Papers
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Journal ArticleDOI
TL;DR: An analysis based on recent developments in network theory to examine the spatial dynamics of rainfall in Australia suggests that the network is not a purely random graph but may be an exponentially truncated power-law network.
Abstract: This study presents an analysis based on recent developments in network theory to examine the spatial dynamics of rainfall. The concepts of clustering coefficient and degree distribution are employed to study the spatial connections in a rainfall network across Australia. The clustering coefficient is a measure of local density, while the degree distribution is a measure of spread. Monthly rainfall data over a period of 68 years from a network of 230 gaging stations across Australia are analyzed, and different correlation thresholds are considered. The clustering coefficient results help identify actual neighbors and actual links in the network as well as stations/regions with high and low connectivities. The results from both methods also suggest that the network is not a purely random graph but may be an exponentially truncated power-law network. The connectivity and type of the raingage network are also influenced by the correlation threshold used for identifying connections. A network-based approach for studying spatial variability of rainfall is presented.Clustering coefficient and degree distribution methods are employed to study connections in a rainfall monitoring network.The influence of correlation thresholds on network properties is examined.The outcomes have implications for rainfall interpolation and classification purposes.

51 citations

Posted Content
TL;DR: In this paper, the authors show how topology and weights can play distinct roles in rich-clubs and discuss how several previous reports of weighted rich clubs conflated the two using inappropriate controls.
Abstract: Network theory helps uncover organizational features of complex systems. In many real-world networks, exclusive groups of highly linked elements form rich clubs, which have key functional roles. Detecting rich clubs when links are weighted is non-trivial however, and multiple metrics have been proposed. We reduce these metrics to a single form by integrating the role of randomized controls. Using this framework we show how topology and weights can play distinct roles in rich-clubs and discuss how several previous reports of weighted rich clubs conflated the two using inappropriate controls.

51 citations

Journal ArticleDOI
TL;DR: The c-index and its derivative indexes proposed in this paper comprehensively utilize the amount of nodes’ neighbors, link strengths and centrality information of neighbor nodes to measure the centrality of a node, composing a new unique centrality measure for collaborative competency.

51 citations

Posted Content
19 Mar 2012
TL;DR: A mapping from fracture systems consisting of intersecting fracture sheets in three dimensions to an abstract network consisting of nodes and links is proposed, which makes it possible to analyze fracture systems with the methods developed within modern network theory.
Abstract: We propose a mapping from fracture systems consisting of intersecting fracture sheets in three dimensions to an abstract network consisting of nodes and links. This makes it possible to analyze fracture systems with the methods developed within modern network theory. We test the mapping for two-dimensional geological fracture outcrops and find that the equivalent networks are small-world and dissasortative. By anlayzing the Discrete Fracture Network model, which is used to generate artifical fracture networks, we also find small world networks. However, the networks turn out to be assortative.

50 citations

Journal ArticleDOI
TL;DR: A framework that integrates network theory methods into infrastructure network assessment in order to investigate transportation network robustness from a topological perspective is presented.
Abstract: This paper presents a framework that integrates network theory methods into infrastructure network assessment in order to investigate transportation network robustness from a topological pe...

50 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202319
202240
202175
2020109
201989
2018115