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Orthogonal Graphs Over Finite Commutative Rings of Odd Characteristic |
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| รหัสดีโอไอ | |
| Title | Orthogonal Graphs Over Finite Commutative Rings of Odd Characteristic |
| Creator | Songpon Sriwongsa |
| Contributor | Yotsanan Meemark |
| Publisher | Chulalongkorn University |
| Publication Year | 2557 |
| Keyword | Generalized spaces, Graph theory, Arithmetic, ปริภูมิ, ทฤษฎีกราฟ, เลขคณิต |
| Abstract | Let (V β)be an orthogonal space over a finite commutative ring R of odd characteristic. We determine the structure of V when 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 of the graph. Moreover, 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. |
| URL Website | cuir.car.chula.ac.th |
