A Erdos-Renyi random graph with 20 nodes and 65 edges.

A Erdos-Renyi random graph with 20 nodes and 65 edges.

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Community structure is a common phenomenon observed in various social networks. In this work, a novel community detection algorithm is proposed by estimating the effect of community structure on the average path length of a network. The Erdos-Renyi graph model is used as a reference to compute the change in the average path length of a network due...

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... algorithm is explained with an example. Given figure ( Fig. 5) is an Erdos-Renyi random graph with 20 nodes and 65 edges. The average degree is 6.5. The value of d converted to the nearest integer is 6. The value of t, which signifies the number of links at distance R (R = 1 here) from the source, is initialized to 6. The T value, which signifies the number of nodes (except source) already have d ...

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... To determine if the space use of M. alfredi within the acoustic receiver array occurred in a non-random manner, the network was tested for non-random movements of acoustically tagged animals using edge permutation [57]. A network with a structure typically has a longer APL than a random network with the same number of nodes and edges [61]. The null hypothesis was that each node in the observed network had the same probability of being connected to other nodes through the movements of M. alfredi despite its distance to another; therefore, the observed network would have a similar APL to a random network. ...
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