Statistical Mechanics of Book-Borrowing Networks
碩士 === 國立東華大學 === 應用物理研究所 === 94 === Complex networks are very important to human’s life because of they can describe a wide range of systems in nature and society. The first target is to establish a real network out of the database of book borrowing form the NDHU’s library in Oct. 1991 to Apr. 1994...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/74272990405351799321 |
| Summary: | 碩士 === 國立東華大學 === 應用物理研究所 === 94 === Complex networks are very important to human’s life because of they can describe a wide range of systems in nature and society. The first target is to establish a real network out of the database of book borrowing form the NDHU’s library in Oct. 1991 to Apr. 1994. We first represent the links in binary states due to topological structures of complex systems.
For computational results, we know that real networks combine the clustering coefficient of a small-world network and the degree distribution property of a scale-free network. Finally, we assign to each edge of the graph a weight proportional to the intensity which interpersonal relationship of the connections among the various elements of the network. This information allows us to investigate the correlations among weighted quantities and weighted networks can be analyzed using the mathematical method－Principle Component Analysis (PCA). Our study provides the following ideas: The major reason of the effect in network structure is due to the amounts of book borrowing to people. Secondary, people in different habits at borrowing books result in the change of the network structure.
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