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math.CO2022
Comparing Eigenvector and Degree Dispersion with the Principal Ratio of a Graph
Gregory J. Clark
The principal ratio of a graph is the ratio of the greatest and least entry of its principal eigenvector. Since the principal ratio compares the extreme values of the principal eig…
math.CO2022
On the Effect of Data Dimensionality on Eigenvector Centrality
Gregory J. Clark, Felipe Thomaz, Andrew Stephen
Graphs (i.e., networks) have become an integral tool for the representation and analysis of relational data. Advances in data gathering have lead to multi-relational data sets whic…