PBIB-designs arising from diametral paths in cubic graphs
Abstract
The Partially balanced incomplete block (PBIB)-designs and association schemes arising from different graph parameters is a well studied concept. In this paper, we determine the PBIB-designs with some association schemes through diametral paths in cubic graphs of order at most ten. The discussion of non-existence of some designs corresponding to diametral paths from certain graphs concludes the article.
Copyright © 2020 Medha Itagi Huilgol, M. D. Vidya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. I. Huilgol, M. D. Vidya, PBIB-designs arising from diametral paths in cubic graphs, J. Math. Comput. Sci. 10 (2020), 3090–3100. https://doi.org/10.28919/jmcs/5034
BibTeX
@article{Huilgol2020,
author = {Huilgol, Medha Itagi and Vidya, M. D.},
title = {PBIB-designs arising from diametral paths in cubic graphs},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {3090--3100},
doi = {10.28919/jmcs/5034}
}