Research Paper On Network Topology

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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.

The space P is mainly used to analyze the average transfer time. In Section 2, we give the description of the construction of the network.

Section 3 analyzes the main properties of the BBN with space L.

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Network topology is the "shape" of a network of biological interactions and shows how the nodes — the parts of the network where elements interact — are connected to each other.The transport network structure plays a crucial role in transport dynamics.To better understand the property of the bus network in big city and reasonably configure the bus lines and transfers, this paper seeks to take the bus network of Beijing as an example and mainly use space L and space P to analyze the network topology properties.Sienkiewicz and Holyst studied the public transport in 22 Polish cities and found that the degree distribution of these network topologies followed a power law or an exponential function [11]. analyzed the three major cities of China, and they found that there is a linear behavior between strength and degree [12]. contribute a complex weighted network analysis of travel routes on the Singapore rail and bus transportation systems [13].In this paper, we investigate the Beijing bus network (BBN) with 722 lines and 5421 nodes. In the network, the nodes stand for bus stations and edges (links) are the bus line connecting them along the route.The results show that the bus network of Beijing is a scale-free network and the degree of more than 99 percent of nodes is lower than 10.The results also show that the network is an assortative network with 46 communities.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 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.

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