The Geodetic Number for the Unit Graphs Associated with Rings of Order P and P2

被引：0

作者：

Abdelkarim, Heba Adel ^{[1
]}

机构：

[1] Irbid Natl Univ, Dept Math, Irbid 21110, Jordan

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 09期

关键词：

commutative ring; finite field; unit graph; geodetic set; geodetic number;

D O I：

10.3390/sym15091799

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let G(R) be the unit graph associated with a ring R. Let p be a prime number and let R be a finite ring of order p or p(2) and be one of the rings Z(p), Z(p2), GF (p(2)), Z(p) (+) Z(p) or Z(p) X Z(p). We determine the geodetic number g (G (R)) associated with each such ring.

引用

页数：10

共 21 条

[1] Unit graphs of rings of polynomials and power series [J].