Beyond the Zagreb indices

Abstract

The two Zagreb indices and 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 and were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography.

Keywords

• degree (of vertex)
• zagreb index
• vertex-degree-based graph invariants
• zagreb-type indices