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First zagreb spectral radius of unicyclic graphs and trees.
- Source :
- Journal of Combinatorial Optimization; Aug2024, Vol. 48 Issue 1, p1-24, 24p
- Publication Year :
- 2024
-
Abstract
- In light of the successful investigation of the adjacency matrix, a significant amount of its modification is observed employing numerous topological indices. The matrix corresponding to the well-known first Zagreb index is one of them. The entries of the first Zagreb matrix are d u i + d u j , if u i is connected to u j ; 0, otherwise, where d u i is degree of i-th vertex. The current work is concerned with the mathematical properties and chemical significance of the spectral radius ( ρ 1 ) associated with this matrix. The lower and upper bounds of ρ 1 are computed with characterizing extremal graphs for the class of unicyclic graphs and trees. The chemical connection of the first Zagreb spectral radius is established by exploring its role as a structural descriptor of molecules. The isomer discrimination ability of ρ 1 is also explained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13826905
- Volume :
- 48
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Combinatorial Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 178747333
- Full Text :
- https://doi.org/10.1007/s10878-024-01195-x