Augmenting the Delsarte bound: a forbidden interval for the order of maximal cliques in strongly regular graphs

• المؤلفون الرئيسيون: Greaves, Gary Royden Watson, Koolen, Jack H., Park, Jongyook
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Delsarte Clique; Eigenvalue
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/159972

In this paper, we study the order of a maximal clique in an amply regular graph with a fixed smallest eigenvalue by considering a vertex that is adjacent to some (but not all) vertices of the maximal clique. As a consequence, we show that if a strongly regular graph contains a Delsarte clique, then...