Year: 2025
Type: article
Abstract: For a given graph G with n vertices and m edges, let M2 denote the second Zagreb index of G and λ1 its spectral radius.We show that the inequality M 2 m ≤ 2λ 2 1 is not valid in general case, but is satisfied by trees and unicyclic graphs, settling thus an old conjecture by one of the present authors.We also pose some related problems for future research.
Source: Discrete Mathematics Letters
Authors: Došlić, Tomislav, Stevanović, Dragan, Vukičević, Damir
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: G5841098923
OpenAlex ID: W4417147375
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