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Title:
Some New Results for the Hitting Time Index
Authors:
José Luis Palacios, Arianna Santamarı́a
Volume
94
Issue
2
Year
2025
Pages
427-445
Abstract

We prove a new inequality between the HT index and the Kirchhoff index, as well as the facts that the value of the HT index for any tree is an integer, and that this new index is not monotonic under edge addition. Then we focus on the computation of the values of this index, in closed form, for several families of graphs containing one or two cutpoints.