仿射空间中的强正则图及其子图  

Strongly Regular Graphs in Affine Spaces and Their Subgraphs

作　　者：郭军 Guo Jun(Langfang Normal University,Langfang 065000,China)

机构地区：[1]廊坊师范学院理学院,河北廊坊065000

出　　处：《廊坊师范学院学报（自然科学版）》2021年第4期5-11,共7页Journal of Langfang Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11971146)。

摘　　要：设AG(n,F_(q))是q元有限域F_(q)上的n维仿射空间,而O(1,n)是AG(n,F_(q))中所有直线的集合。定义一个图Γ,它的顶点集合为O(1,n),两个不同的顶点相邻当且仅当它们相交。指出Γ是一个强正则图,Γ的某些子图是广义强正则图,并且计算了这些图的参数。Let AG(n,F_(q))be the-dimensional affine space over q-elements finite field F_(q) and O(1,n)be the set of all lines in AG(n,F_(q)).Define a graph whose vertex set is O(1,n),and two distinct vertices are adjacent if and only if they are intersecting.This paper shows that is strongly regular,some subgraphs of are generalized strongly regular,and computes parameters of these graphs.

关 键 词：仿射空间 强正则图 广义强正则图 

分 类 号：O157.5[理学—数学]