Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582667 | Finite Fields and Their Applications | 2016 | 20 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yotsanan Meemark, Songpon Sriwongsa,