Inequalities on the inverse degree index Articles uri icon

publication date

  • May 2019

start page

  • 1524

end page

  • 1542

volume

  • 57

International Standard Serial Number (ISSN)

  • 0259-9791

Electronic International Standard Serial Number (EISSN)

  • 1572-8897

abstract

  • The inverse degree index, also called inverse index, first attracted attention through numerous conjectures generated by the computer programme Graffiti. Since then, its relationship with other graph invariants has been studied by several authors. In this paper, we obtain new inequalities involving the inverse degree index, and we characterize graphs which are extremal with respect to them.

keywords

  • inverse topological index; inverse degree index; degree-based topological indices; converse hölder's inequality