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...

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Bibliographic Details
Main Authors: Ying Wang, Salma Kanwal, Maria Liaqat, Adnan Aslam, Uzma Bashir
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2022/7513770
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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:2090-9071