Article ID Journal Published Year Pages File Type
4583257 Finite Fields and Their Applications 2008 23 Pages PDF
Abstract

The (isotropic) orthogonal graph O(2ν+δ,q) over Fq of odd characteristic, where ν⩾1 and δ=0,1 or 2 is introduced. When ν=1, O(2⋅1+δ,q) is a complete graph. When ν⩾2, O(2ν+δ,q) is strongly regular and its parameters are computed, as well as its chromatic number. The automorphism groups of orthogonal graphs are also determined.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory