Computing the Forgotten Topological Index for Zero Divisor Graphs of MV-Algebras

Abstract

Topological indices are numerical values in graphs. Recently, they have been an attractive topic and multidisciplinary research area in mathematics, computer science, chemistry, pharmacy, and etc. In this work, we investigate the Forgotten index of zero divisor graphs of MValgebra. Firstly, using isomorphism between 𝐿𝑛 and 𝑛-element MV-chain, we generalize the Forgotten topological index for zero divisor graph of 𝐿𝑛 where 𝑛 > 5. Then, the Forgotten index of zero divisor graph for MV-algebras which have cardinality 5,6,7,8 is computed with supporting samples.

Keywords

• Forgotten index
• topological index
• MV-algebra
• zero divisor graph
• graph theory

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