Inverse sum Indeg index and ISI matrix of graphs

Bharali, A.; Mahanta, A.; Gogoi, I. J.; Doley, Amitav

doi:10.1080/09720529.2020.1815340

Cited by 9 publications

(3 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The present work is a happy exception to this trend. The inverse sum indeg energy was first presented by Zangi et al [37] and some mathematical study of that energy was later performed in [36,38]. However, no attention was paid to investigating the role of E ISI as a regulator of molecular properties.…”

Section: Significance As Structural Descriptormentioning

confidence: 99%

“…The spectral behavior of the Sombor index was recently reported in [35]. The spectral properties of inverse sum indeg (ISI) index were recently studied [36,37] for which the ISI matrix was defined, whose (i, j)-element is…”

Section: Introductionmentioning

confidence: 99%

“…r(n − r)/(n − 1) , where 2r = n + √ n and r is the degree of the vertices of strongly regular graph. Then the graph G exists, for example, G ∼ = srg (16,10,6,6) or G ∼ = srg (36,21,12,12).…”

mentioning

confidence: 99%

See 2 more Smart Citations

On Neighborhood Inverse Sum Indeg Energy of Molecular Graphs

et al. 2022

View full text Add to dashboard Cite

The spectral graph theory explores connections between combinatorial features of graphs and algebraic properties of associated matrices. The neighborhood inverse sum indeg (NI) index was recently proposed and explored to be a significant molecular descriptor. Our aim is to investigate the NI index from a spectral standpoint, for which a suitable matrix is proposed. The matrix is symmetric since it is generated from the edge connection information of undirected graphs. A novel graph energy is introduced based on the eigenvalues of that matrix. The usefulness of the energy as a molecular structural descriptor is analyzed by investigating predictive potential and isomer discrimination ability. Fundamental mathematical properties of the present spectrum and energy are investigated. The spectrum of the bipartite class of graphs is identified to be symmetric about the origin of the real line. Bounds of the spectral radius and the energy are explained by identifying the respective extremal graphs.

show abstract

Section: Significance As Structural Descriptormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%