<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper presents results for some vertex stress related parameters in respect of specific subfamilies of Kneser graphs. Kneser graphs for which diam(KG(n, k)) = 2 and k ≥ 2 are considered. The note establishes the foundation for researching similar results for Kneser graphs for which diam(KG(n, k)) ≥ 3. In addition some important vertex stress related properties are stated. Finally some results for specific bipartite Kneser graphs i.e. BK(n, 1), n ≥ 3 will be presented. In the conclusion some worthy research avenues are proposed.</p>
</abstract>

This paper presents results for some vertex stress related parameters in respect of specific subfamilies of Kneser graphs. Kneser graphs for which diam(KG(n, k)) = 2 and k ≥ 2 are considered. The note establishes the foundation for researching similar results for Kneser graphs for which diam(KG(n, k)) ≥ 3. In addition some important vertex stress related properties are stated. Finally some results for specific bipartite Kneser graphs i.e. BK(n, 1), n ≥ 3 will be presented. In the conclusion some worthy research avenues are proposed.

Vertex stress related parameters for certain Kneser graphs

Independent Mathematics Researcher, City of Tshwane, South Africa & Visiting Faculty at CHRIST (Deemed to be a University)

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Vertex stress related parameters for certain Kneser graphs"}

This paper presents results for some vertex stress related parameters in respect of specific subfamilies of Kneser graphs. Kneser graphs for which diam(KG(n,...

Vertex stress related parameters for certain Kneser graphs

Published Online: Feb 02, 2022

Page range: 324 - 334

Received: Nov 14, 2021

Accepted: Nov 27, 2021

DOI: https://doi.org/10.2478/ausi-2021-0015

© 2021 Johan Kok, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.