K. Das

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math.CO2024

Bounds on the Inverse symmetric division deg index and the relation with other topological indices of graphs

Kinkar Chandra Das, B. R. Rakshith, Wojciech Macek

Let $G = (V, E)$ be a simple graph. The concept of Inverse symmetric division deg index $(I S D D)$ was introduced in the chemical graph theory very recently. In spite of this, a few pap…

math.CO2024

Unifying adjacency, Laplacian, and signless Laplacian theories

Aniruddha Samanta, Deepshikha, Kinkar Chandra Das

Let $G$ be a simple graph with associated diagonal matrix of vertex degrees $D (G)$ , adjacency matrix $A (G)$ , Laplacian matrix $L (G)$ and signless Laplacian matrix $Q (G)$ . Recently,…

math.CO2024

On Energy of Graphs with Self-Loops

B. R. Rakshith, Kinkar Chandra Das, B. J. Manjunatha

Let G be a simple graph on n vertices with vertex set V(G). The energy of G, denoted by, $E (G)$ is the sum of all absolute values of the eigenvalues of the adjacency matr…