Author(s)

Lei Qiu, Xijie Ruan, Yan Zhu^*

School of Mathematics, East China University of Science and Technology, Shanghai, China.

The exponential Randić index has important applications in the fields of biology and chemistry. The exponential Randić index of a graph G is defined as the sum of the weights $e^{\frac{1}{\sqrt{d\left(u\right)d\left(v\right)}}}$ of all edges uv of G, where $d\left(u\right)$ denotes the degree of a vertex u in G. The paper mainly provides the upper and lower bounds of the exponential Randić index in quasi-tree graphs, and characterizes the extremal graphs when the bounds are achieved.

Exponential Randić Index, Quasi-Tree Graph, Extremal Value, Extremal Graphs

Qiu, L. , Ruan, X. and Zhu, Y. (2024) The Maximum and Minimum Value of Exponential Randić Indices of Quasi-Tree Graph. Journal of Applied Mathematics and Physics, 12, 1804-1818. doi: 10.4236/jamp.2024.125112.