Vol - 25, Issue - 9
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[This article belongs to Volume - 25, Issue - 9]
International Medical Journal
Journal ID : IMJ-14-08-2020-580
Total View : 408
Title : The Relationship Between Eulerian Intersection Ideals of Graphs of Rings and Covid-19

Abstract : Let R be a commutative finite principal ideal ring with unity. Let G(R) be the simple graph consisting of nontrivial proper ideals of R as vertices such that two vertices I and J are adjacent if they have nonzero intersection. In this article, we prove that the intersection graphs of ideals of a ring R, denoted by Γ(G(R)), is Eulerian graph if |G(𝐑𝐢 )| is odd for all i or R is a product of more than two fields. And the complement of the intersection graphs of ideals of a ring R, denoted by Γ(G(𝐑)) ̅̅̅̅̅̅̅̅̅̅̅̅is Eulerian graph if R is a product of more than one local ring with |G(𝐑𝐢 )|)| is odd for all i, we investigated the relationship between the intersection graphs of ideals of a ring R and the patient’s immune to Covid-19. In addition, we tried to use Eulerian graph to model the danger of Covid-19 patients
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