A new construction of Deza graphs through $\pi$-local fusion graphs of finite simple groups of Lie-type of even characteristic

Abstract

In this paper, we investigate the structure of $\pi$-local fusion graphs of some finite simple groups of Lie-type of even characteristic. We indicate a strong connection between such graphs and other combinatorial objects, as antipodal covers and Deza graphs. In particular, we find several infinite families of $\pi$-local fusion graphs of finite simple groups of Lie-type of even characteristic that are strictly Deza graphs.