New lower bounds for the first variable Zagreb index Articles uri icon

publication date

  • January 2022

start page

  • 166

end page

  • 173


  • 306

International Standard Serial Number (ISSN)

  • 0166-218X

Electronic International Standard Serial Number (EISSN)

  • 1872-6771


  • In this paper we study lower bounds in a unified way for a large family of topological indices, including the first variable Zagreb index . Our aim is to obtain sharp inequalities and characterize the corresponding extremal graphs. The main results provide lower bounds for several vertex-degree-based topological indices. These bounds are new even for the first Zagreb, the inverse and the forgotten indices.


  • Mathematics


  • first variable zagreb index; graph invariant; topological index; vertex-degree-based graph invariant