Smarandache-Zagreb Index on Three Graph Operators

Many researchers have studied several operators on a connected graph in which one make an attempt on subdivision of its edges. In this paper, we show how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these operators and extended these results to obtain a relation connecting the Zagreb index on operators

Beyond the Zagreb indices

© 2018 Kalasalingam University. Published with license by Taylor & Francis Group, LLC. The two Zagreb indices (Formula presented.) and (Formula presented.) are vertex-degree-based graph invariants that have been introduced in the 1970s and extensively studied ever since. In the last few years, a variety of modifications of (Formula presented.) and (Formula presented.) were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography