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short geodesic distances to other nodes within a network have high closeness. Applying this centrality measures to IPFN, technological implications of centrality of property and function can be formulated ( Table 3 ). A property with high

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its diameter. The diameter of a network is the largest geodesic distance in the largest component network. The diameter is also a useful amount in that it can be used to ascertain an upper bound on the lengths of connections. The diameter of the

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among various nodes. Extending the same concept Sabidussi ( 1966 ) used in his work the ‘sum distance’, the sum of the ‘geodesic’ distances (the shortest path between any particular pair of nodes in a network) to all other nodes in the network. A node is

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divided by the sum of all distances between the vertex and all others. Higher closeness centrality indicates closer relationship to others and easier information obtainment. Betweenness centrality of a node is calculated as the proportion of all geodesics

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methods have been used to measure centrality, and these methods may yield differing values. In this analysis, we use the closeness centrality measure which describes geodesics from one node to each other node (Linton 1977 ): where C i is a closeness

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