# Research Paper On Network Topology

Complex networks have been successfully used in many real complex systems since the researches of small-world networks and scale-free networks [1, 2].

Complex networks have been successfully used in many real complex systems since the researches of small-world networks and scale-free networks [1, 2].

In Section 4, we analyze the average transfer time of the BBN and use space P to calculate the smallest transfer times between any nodes in the network. For easy calculation, there are some assumptions followed.

The bus network is usually represented by space L, space P [11], space B [14], space C [15].

Space P is a link formed between any two nodes of a line.

Figure 1 gives a schematic representation of space L and space P..

We also show that variance decompositions define weighted, directed networks, so that our connectedness measures are intimately-related to key measures of connectedness used in the network literature.

Building on these insights, we track both average and daily time-varying connectedness of major U. financial institutions' stock return volatilities in recent years, including during the financial crisis of 2007-2008. (2014), "On the Network Topology of Variance Decompositions: Measuring the Connectedness of Financial Firms," Journal of Econometrics, 182, 119-134.In this paper, it refers to the number of bus stations with direct bus connecting with the current bus station.After calculation, the largest degree of the BBN is 21, the smallest is 1, and the average degree of all nodes is 3.13 which means one station averagely connects 3-4 stations in Beijing bus network.The approach is applied to all the bus lines in Beijing which includes 722 lines and 5421 bus station.In the first phase of the approach, space L is used.Figure 3 shows the degree distribution of the stations in the BBN, and we found that it follows a shifted power law distribution.Cluster coefficient is an important property of characterizing the local cohesiveness of the current node or the extent to which the nodes in the network are clustered together.In a second phase, space P is used to analyze the property of transfer.The results show that the average transfer time of Beijing bus network which is 1.88 and 99.8 percent of arbitrary two pair nodes is reachable within 4 transfers.Acknowledgments Machine-readable bibliographic record - MARC, RIS, Bib Te X Document Object Identifier (DOI): 10.3386/w17490 Published: Diebold, F. Bulletin on Retirement and Disability Bulletin on Health including Archive of Lists of Affiliates' Work in Medical and Other Journals with Pre-Publication Restrictions Archives of Bulletin on Aging and Health Digest — Non-technical summaries of 4-8 working papers per month Reporter — News about the Bureau and its activities. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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