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math.CO2022
Weighted enumeration of nonbacktracking walks on weighted graphs
Francesca Arrigo, Desmond J. Higham, Vanni Noferini +1
We extend the notion of nonbacktracking walks from unweighted graphs to graphs whose edges have a nonnegative weight. Here the weight associated with a walk is taken to be the prod…
math.CO2021
Dynamic Katz and Related Network Measures
Francesca Arrigo, Desmond J. Higham, Vanni Noferini +1
We study walk-based centrality measures for time-ordered network sequences. For the case of standard dynamic walk-counting, we show how to derive and compute centrality measures in…