Generalized closeness and decay stability of some graphs

Generalized closeness is a recently defined centrality measure. Decay stability, based on generalized closeness, has been previously studied, leading to several conjectures on the decay stability of certain graph classes. In this work, we disprove two of these conjectures by showing that the Cartesian and strong products of paths are not decay stable.

Publication Details

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Repository of the University of Ljubljana (University of Ljubljana)
Published
2025-03-17
Primary Topic
Interconnection Networks and Systems
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article
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article

Generalized closeness and decay stability of some graphs

Repository of the University of Ljubljana (University of Ljubljana)
Interconnection Networks and Systems
article

Generalized closeness and decay stability of some graphs

article en

Abstract

Generalized closeness is a recently defined centrality measure. Decay stability, based on generalized closeness, has been previously studied, leading to several conjectures on the decay stability of certain graph classes. In this work, we disprove two of these conjectures by showing that the Cartesian and strong products of paths are not decay stable.

Repository of the University of Ljubljana (University of Ljubljana)
Openalex Percentile: Top 45%
Interconnection Networks and Systems
Open Access PDFOpenAlex
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Generalized closeness and decay stability of some graphs · Repository of the University of Ljubljana (University of Ljubljana) (2025) | TGRS Research Map | TGRS