THE GRAPH INDUCED BY AFFINE M－FLATS OVER FINITE FIELDSⅡ

摘要

Let AG(n,Fq)be the n-dimensional affine space over Fq,where Fq is a finite field with q elements.Denote by Γ(m)the graph induced by m-flats of AG(n,Fq0,For any two adjacent vertices E and Fof Γ(m),Γ(m)(E)∩Γ(m)(F)is studied.In particular,sizes of maximal cliques in Γ(m) are determined and it is shown that Γ(m) is not edge-regular when m