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Research Article

JCR. 2020; 7(13): 1258-1264


Zero-Divisor Graph of the Lattice 𝑳𝒏𝟐𝟐

Amit Dabhole, Kirtiwant Ghadle, Ganesh Rokade.

Abstract
In the present article we discussed, some properties of the zero-divisor graph of the lattice Ln22. In such graphs, we have found order of a graph, cardinality of neighbourhood of vertex which are atoms of the lattice. Also we have found diameter and maximum cardinality of maximal independent sets in such graph.

Key words: Zero-divisor, order of a graph, neighbourhood of vertex, independent set, diameter.



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