Total graph of a $0$-distributive lattice

Let £ be a $0$-distributive lattice with the least element $0$, the greatest element $1$, and ${rm Z}(£)$ its set of zero-divisors. In this paper, we introduce the total graph of £, denoted by ${rm T}(G (£))$. It is the graph with all elements of £ as vertices, and for distinct $x, y in £$, the vert...

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Bibliographic Details
Main Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel, Maryam Sedghi
Format: Article
Language:English
Published: Shahid Beheshti University 2018-07-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:http://cgasa.sbu.ac.ir/article_50749_c43feee35e55c325b3f13fa98313523d.pdf

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