期刊
SCIENTIFIC REPORTS
卷 5, 期 -, 页码 -出版社
NATURE PORTFOLIO
DOI: 10.1038/srep17469
关键词
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资金
- National Natural Science Foundation of China [11275049]
- Fudan's Undergraduate Research Opportunities Program
Much information about the structure and dynamics of a network is encoded in the eigenvalues of its transition matrix. In this paper, we present a first study on the transition matrix of a family of weight driven networks, whose degree, strength, and edge weight obey power-law distributions, as observed in diverse real networks. We analytically obtain all the eigenvalues, as well as their multiplicities. We then apply the obtained eigenvalues to derive a closed-form expression for the random target access time for biased random walks occurring on the studied weighted networks. Moreover, using the connection between the eigenvalues of the transition matrix of a network and its weighted spanning trees, we validate the obtained eigenvalues and their multiplicities. We show that the power-law weight distribution has a strong effect on the behavior of random walks.
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