On the clique number of a strongly regular graph
The electronic journal of combinatorics, Tome 25 (2018) no. 4
We determine new upper bounds for the clique numbers of strongly regular graphs in terms of their parameters. These bounds improve on the Delsarte bound for infinitely many feasible parameter tuples for strongly regular graphs, including infinitely many parameter tuples that correspond to Paley graphs.
DOI :
10.37236/7873
Classification :
05C69, 05E30
Mots-clés : Delsarte bound, Hoffman bound, block intersection polynomial, clique number, conference graphs, strongly regular graphs, clique adjacency bound
Mots-clés : Delsarte bound, Hoffman bound, block intersection polynomial, clique number, conference graphs, strongly regular graphs, clique adjacency bound
@article{10_37236_7873,
author = {Gary R. W. Greaves and Leonard H. Soicher},
title = {On the clique number of a strongly regular graph},
journal = {The electronic journal of combinatorics},
year = {2018},
volume = {25},
number = {4},
doi = {10.37236/7873},
zbl = {1398.05150},
url = {http://geodesic.mathdoc.fr/articles/10.37236/7873/}
}
Gary R. W. Greaves; Leonard H. Soicher. On the clique number of a strongly regular graph. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/7873
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