4 papers
Structural Properties and Applications of the Augmented Sombor Index
Chunlei Xu, Kinkar Chandra Das, Jayanta Bera
Topological indices are key quantitative descriptors in mathematical chemistry, unchanged under symmetry operations and retaining graph connectivity; they capture molecular structu…
Sum of the Largest Eigenvalues of Symmetric Matrices: Theory and Applications
Shaowei Sun, Yaping Min, Kinkar Chandra Das
This paper establishes new upper bounds for the sum of the largest eigenvalues of symmetric matrices. When applied to the adjacency matrix of a graph, our results improve upon…
On the Augmented Sombor Index of Graphs
Kinkar Chandra Das, Akbar Ali
Let be a connected graph having more than two vertices and let denote the degree of vertex in . Let represent the edge set of . Then, the augmented Som…
On Hyperbolic Sombor index of graphs
Kinkar Chandra Das, Sultan Ahmad
The Hyperbolic Sombor index of a graph is defined as \begin{align*} HSO(G) = \sum_{v_iv_j \in E(G)} \frac{\sqrt{d_i^{2}+d_j^{2}}}{\min\{d_i,d_j\}}, \end{align*} where…