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.
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页数：10
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