A complete characterization of spectra of the Randic matrix of level-wise regular trees

Punit Vadher, Devsi Bantva

Let $G$ be a simple finite connected graph with vertex set $V(G)=\{v_1,v_2,\dots ,v_n\}$. Denote the degree of vertex $v_i$ by $d_i$ for all $1\le i\le n$. The Randić matrix…