The degree distribution of fixed act-size collaboration networks |
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Authors: | Qinggui Zhao Xiangxing Kong Zhenting Hou |
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Affiliation: | 1.School of Mathematics,Central South University,Changsha,China;2.School of Mathematics and Statistics,Chongqing University of Arts and Sciences,Chongqing,China |
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Abstract: | In this paper, we investigate a special evolving model of collaboration networks, where the act-size is fixed. Based on the first-passage probability of Markov chain theory, this paper provides a rigorous proof for the existence of a limiting degree distribution of this model and proves that the degree distribution obeys the power-law form with the exponent adjustable between 2 and 3. |
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