Small World Graphs. Amber Rice. Defining a Small World Graph. Relatively HIGH Clustering Coefficient Relatively LOW Characteristic Path Length. Clustering Coefficient. Measure of degree to which vertices in a graph tend to cluster together
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
8 Connected Triples
So the Clustering Coefficient is 3/8.
First, find the distances between all the vertices and each average length.
A – 1, 1, 2, 2 mean(A) = 6/4
B – 1, 1, 2, 2 mean(B) = 6/4
C – 1, 1, 1, 1 mean(C) = 4/4
D – 1, 2, 2, 2 mean(D) = 7/4
E – 1, 2, 2, 2 mean(E) = 7/4
Next, take the median of the averages.
Median ( 4/4, 6/4, 6/4, 7/4, 7/4 ) = 6/4
So, the Characteristic Path Length of this graph is 6/4.
Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Review, 45(2):167-256.