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Generalized orthogonal graphs of characteristic a power of 2 | ||
| Journal of Algebra and Related Topics | ||
| دوره 10، شماره 1، شهریور 2022، صفحه 51-61 اصل مقاله (292.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.20476.1310 | ||
| نویسندگان | ||
| S. Sriwongsa1؛ Y. Wei* 2 | ||
| 1Department of Mathematics, King Mongkut's University of Technology Thonburi, Bangkok, Thailand. | ||
| 2School of Mathematics and Statistics, Nanning Normal University, Nanning , P.R. China | ||
| چکیده | ||
| Let $R$ be a finite local ring of characteristic a power of $2$ with the residue field $k$. In this paper, we define a generalized orthogonal graph on a module of rank at least $2$ over $R$. Then we study its graph properties via the same graph over $k$. The number of vertices and the valency of each vertex in this graph over $R$ are computed. We also prove that this graph is arc transitive and find its diameter. Moreover, the first subconstituent of this orthogonal graph is considered. We show that it is a generalized strongly regular graph. | ||
| کلیدواژه‌ها | ||
| Generalized strongly regular graphs؛ Local rings؛ Orthogonal graphs | ||
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