A class of generalized symplectic graphs based on totally isotropic subspaces in symplectic spaces over finite fields

被引：0
|
作者：
Huo, Lijun [1 ]
Cheng, Weidong [2 ]
机构：
[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
来源：
FILOMAT | 2024年 / 38卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Generalized symplectic graph; Symplectic space; Distance; d-Deza graph; Subconstituent; SUBCONSTITUENTS;
D O I：
10.2298/FIL2410651H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let F(q )be a finite field of order q and F-q((2 nu)) be a 2 nu-dimensional symplectic space. In the present paper, we study a class of generalized symplectic graphs Gamma based on m-dimensional totally isotropic subspaces in F-q((2 nu)). It is shown that Gamma is vertex -transitive, and it is a 5-Deza graph with diameter m + 1. Moreover, we determine the parameters concerning the first subconstituent Gamma(1) and it is shown that Gamma(1) is also a 5-Deza graph.
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页码：3651 / 3663
页数：13
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