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total graph of a 0-distributive lattice
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نویسنده
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ebrahimi atani shahabaddin ,dolati pishhesari saboura ,khoramdel mehdi ,sedghi maryam
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منبع
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categories and general algebraic structures with applications - 2018 - دوره : 9 - شماره : 1 - صفحه:15 -27
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چکیده
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Abstract. let £ be a 0-distributive lattice with the least element 0, the greatest element 1, and z(£) its set of zero-divisors. in this paper, we introduce the total graph of £, denoted by t(g(£)). it is the graph with all elements of £ as vertices, and for distinct x, y ∈ £, the vertices x and y are adjacent if and only if x ∨ y ∈ z(£). the basic properties of the graph t(g(£)) and its subgraphs are studied. we investigate the properties of the total graph of 0-distributive lattices as diameter, girth, clique number, radius,and the independence number
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کلیدواژه
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lattice ,minimal prime ideal ,zero-divisor graph ,total graph
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آدرس
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university of guilan, faculty of mathematical sciences, ایران, university of guilan, faculty of mathematical sciences, ایران, university of guilan, faculty of mathematical sciences, ایران, university of guilan, faculty of mathematical sciences, ایران
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پست الکترونیکی
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ms.maryamsedghi55@gmail.com
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Authors
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