General sum-connectivity index of a graph and its line graph

For a real number β, the general sum-connectivity index χβ(G) of a graph G is defined as ∑xy∈E(G)(d(x)+d(y))β, where d(x) denote the degree of a vertex x in G. In this paper, we show that for every graph G≇Pn, if β≥0, then χβ(L(G))≥{χβ(G)forδ(G)≤2,2χβ(G)forδ(G)≥3. In addition, for β...

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Bibliographic Details
Published in:Applied mathematics and computation 2023-04, Vol.443, p.127779, Article 127779
Main Author: Chen, Xiaohong
Format: Article
Language:English
Subjects:
General sum-connectivity index
Line graph
Sum-connectivity index
Topological index
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Summary:For a real number β, the general sum-connectivity index χβ(G) of a graph G is defined as ∑xy∈E(G)(d(x)+d(y))β, where d(x) denote the degree of a vertex x in G. In this paper, we show that for every graph G≇Pn, if β≥0, then χβ(L(G))≥{χβ(G)forδ(G)≤2,2χβ(G)forδ(G)≥3. In addition, for β
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2022.127779