Generalized Closeness and Decay Stability of Some Graphs

Darja Rupnik Poklukar () and Janez Žerovnik
Additional contact information
Darja Rupnik Poklukar: The Faculty of Mechanical Engineering (FME), University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
Janez Žerovnik: The Faculty of Mechanical Engineering (FME), University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia

Mathematics, 2025, vol. 13, issue 6, 1-9

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.

Keywords: graph products; centrality measure; decay stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/6/939/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/6/939/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:6:p:939-:d:1610613

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().