Nonexistence of (76,30,8,14) strongly regular graph
Abstract
We prove the nonexistence of strongly regular graph with parameters $(76,30,8,14)$. We use Euclidean representation of a strongly regular graph together with a new lower bound on the number of 4cliques to derive strong structural properties of the graph, and then use these properties to show that the graph cannot exist.
 Publication:

arXiv eprints
 Pub Date:
 October 2014
 arXiv:
 arXiv:1410.6748
 Bibcode:
 2014arXiv1410.6748B
 Keywords:

 Mathematics  Combinatorics;
 Primary 05C25;
 Secondary 05C50;
 52C99;
 41A55
 EPrint:
 Linear Algebra Appl. 527 (2017), 5372