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A note on the triameter of graphs.

Authors :
Hak, Artem
Kozerenko, Sergiy
Oliynyk, Bogdana
Source :
Discrete Applied Mathematics. Mar2022, Vol. 309, p278-284. 7p.
Publication Year :
2022

Abstract

In this article, we answer three questions from the paper (Das, 2021). We observe a tight lower bound for the triameter of trees in terms of order and number of leaves. We show that in a connected block graph any triametral triple of vertices contains a diametral pair and that any diametral pair of vertices can be extended to a triametral triple. We also present several open problems concerning the interplay between triametral triples, diametral pairs and peripheral vertices in median and distance-hereditary graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0166218X
Volume :
309
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
154617778
Full Text :
https://doi.org/10.1016/j.dam.2021.12.011