On the exponential generating function for non-backtracking walks

We derive an explicit formula for the exponential generating function associated with non-backtracking walks around a graph. We study both undirected and directed graphs. Our results allow us to derive computable expressions for non-backtracking versions of network centrality measures based on the m...

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Bibliographic Details
Main Authors: Arrigo, F, Grindrod, P, Higham, D, Noferini, V
Format: Journal article
Published: Elsevier 2018