Stability of the LCD model |
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| Authors: | Hou Zhenting Tan Li Shi Dinghua |
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| Institution: | 1. School of Mathematics, Central South University, Changsha 410075, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | The growing network model with loops and multiple edges proposed by Bollobás et al. (Random Structures and Algorithms 18(2001)) is restudied from another perspective. Based on the first-passage probability of Markov chains, we prove that the degree distribution of the LCD model is power-law with degree exponent 3 as the network size grows to infinity. |
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| Keywords: | Markov chain stability power-law |
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