Article ID Journal Published Year Pages File Type
4582667 Finite Fields and Their Applications 2016 20 Pages PDF
Abstract

Let (V,β)(V,β) be an orthogonal space over a finite commutative ring R of odd characteristic. We determine the structure of Vwhen R is a finite local ring. We define a graph for V called an orthogonal graph. We show that our graph is vertex and arc transitive and determine the chromatic number. If R is a finite local ring, we can classify if it is a strongly regular or quasi-strongly regular graph and we obtain its automorphism group. Moreover, we work on subconstituents of the graph.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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