Beyond the Zagreb indices. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
• Is Part Of: AKCE International Journal of Graphs and Combinatorics. Volume 17:Issue 1(2020)
• Page Start: 74
• Page End: 85
• Publication Date: 2020-01-02
• Subjects: Degree (of vertex) -- Zagreb index -- Vertex-degree-based graph invariants -- Zagreb-type indices
• DOI: 10.1016/j.akcej.2018.05.002
• Languages: English
• ISSNs: 0972-8600

Abstract

Abstract: The two Zagreb indices M 1 = ∑ v d ( v ) 2 and M 2 = ∑ u v d ( u ) d ( v ) 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 M 1 and M 2 were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography.