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arXiv · 1601.01465

Maximum Leaf Spanning Trees of Growing Sierpinski Networks Models

Bing Yao·Xia Liu·Jin Xu
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Abstract

The dynamical phenomena of complex networks are very difficult to predict from local information due to the rich microstructures and corresponding complex dynamics. On the other hands, it is a horrible job to compute some stochastic parameters of a large network having thousand and thousand nodes. We design several recursive algorithms for finding spanning trees having maximal leaves (MLS-trees) in investigation of topological structures of Sierpinski growing network models, and use MLS-trees to determine the kernels, dominating and balanced sets of the models. We propose a new stochastic method for the models, called the edge-cumulative distribution, and show that it obeys a power law distribution.

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Bing Yao, Xia Liu, Jin Xu. 2016-01-07. Maximum Leaf Spanning Trees of Growing Sierpinski Networks Models. https://arxiv.org/abs/1601.01465

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