On Second Gourava Invariant for q-Apex Trees

Let G be a simple connected graph. The second Gourava index of graph G is defined as GO2G=∑θϑ∈EGdθ+dϑdθdϑ where dθ denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L⊂VG with ∣L∣=q. If removal of L from VG forms a tree and any other subset o...

Full description

Saved in:
Bibliographic Details
Published in:Journal of chemistry 2022-03, Vol.2022, p.1-7
Main Authors: Wang, Ying, Kanwal, Salma, Liaqat, Maria, Aslam, Adnan, Bashir, Uzma
Format: Article
Language:English
Subjects:
Apexes
Applied mathematics
Graphs
Neighborhoods
Upper bounds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let G be a simple connected graph. The second Gourava index of graph G is defined as GO2G=∑θϑ∈EGdθ+dϑdθdϑ where dθ denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L⊂VG with ∣L∣=q. If removal of L from VG forms a tree and any other subset of VG whose cardinality is less than ∣L∣ does not form a tree, then G is known as q-apex tree. In this paper, we have calculated upper bound for 2nd Gourava index with respect to q-apex trees.
ISSN:2090-9063
2090-9071
DOI:10.1155/2022/7513770