On the first and second Zagreb indices of some products of signed graphs

Abstract

AbstractSome of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product, strong product, symmetric difference of G1 and G2 in terms of the Zagreb indices of the signed graphs of the factor graphs G1 and G2 and their orders and sizes.

Keywords

• Signed graph
• Zagreb index
• tensor product
• Cartesian product
• lexicographic product
• strong product