Four New Sums Related to Lexicographic Product
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Abstract
In this research work, I focus on studying the second hyper Zagreb index of newly defined operations on different subdivision graphs and total graphs that are related to the lexicographic product of two graphs. The Zagreb indices are important topological indices in graph theory that have significant applications in chemistry, particularly in modeling molecular structures. The second hyper Zagreb index provides valuable insights into structural properties and graph invariants. This study explores how various graph operations influence the index, there by contributing to the understanding of graph connectivity, molecular stability, and network complexity in both theoretical and applied graph analysis.
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