Some New Results for the Hitting Time Index

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.

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Publication Details

Journal
match Communications in Mathematical and in Computer Chemistry
Published
2025-01-01
DOI
https://doi.org/10.46793/match.94-2.427p
Citations
2
Primary Topic
Physics and Engineering Research Articles
Type
article
Field-Weighted Citation Impact
2.67
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article

Some New Results for the Hitting Time Index

Asunción Santamaría, José Luis Palacios
2 citations
match Communications in Mathematical and in Computer Chemistry
Physics and Engineering Research Articles
2.67
article

Some New Results for the Hitting Time Index

Asunción Santamaría, José Luis Palacios
article en
2 citations

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.

match Communications in Mathematical and in Computer ChemistryVol. 94(2)
University of New Mexico (US)
Openalex Percentile: Top 13%
Physics and Engineering Research Articles
2.67
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Some New Results for the Hitting Time Index — Asunción Santamaría, José Luis Palacios · match Communications in Mathematical and in Computer Chemistry (2025) | TGRS Research Map | TGRS