HF-index of Graph Operations and Y-index of Graphs Based on Four Operations Related to the Join of Graphs

Authors

  • S. Nagarajan Kongu Arts and Science College (Autonomous), Erode, Bharathiyar University, Coimbatore, Tamil Nadu, India.
  • G. Kayalvizhi Kongu Arts and Science College (Autonomous), Erode, Bharathiyar University, Coimbatore, Tamil Nadu, India.
  • G. Priyadharsini Kongu Arts and Science College (Autonomous), Erode, Bharathiyar University, Coimbatore, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v3/4919A

Keywords:

HF-index, Y-index, graph operations

Abstract

The Y-index of a graph is defined as the sum of degree four of all the vertices of the graph and HF-index is also called as the Forgotten Hyper index. In this chapter, we obtain the HF index of some graph operations such as join, Cartesian Product, Corona Product of graphs and Y-index of four operations (S,R,Q,T) of graphs related to the graphs join.

Published

2022-12-14

How to Cite

S. Nagarajan, G. Kayalvizhi, & G. Priyadharsini. (2022). HF-index of Graph Operations and Y-index of Graphs Based on Four Operations Related to the Join of Graphs. Research Highlights in Mathematics and Computer Science Vol. 3, 61–77. https://doi.org/10.9734/bpi/rhmcs/v3/4919A