# A Preliminary Study of Randić Spread of Graphs

Spread is defined as the difference between the graph’s largest and smallest eigenvalues for a simple undirected graph G. Because 1 is the largest eigenvalue of the Randi matrix, disregarding the spectral radius, the Randi spread sprR is the difference between the Randi matrix’s second and smallest eigenvalues. We investigated the Randi spread bounds in this communication. In addition, we have introduced new upper and lower bounds for this spread.

**Author (s) Details**

**Aditya Pegu
**Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.

**Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.**

I. J. Gogoi

I. J. Gogoi

**Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.**

Rubul Moran

Rubul Moran

**Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India**

Dr. A. Bharali

Dr. A. Bharali

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