فهرست نشریات علمی دسترسی آزاد ایران

‎Let $G$ be a simple graph with vertex set $V(G)=\{v_1‎, ‎v_2‎,‎\dots,v_n\}$‎. ‎The Randi\'c matrix of G‎, ‎represented as R(G)‎, ‎is‎ defined as the $n \times n$ matrix whose $(i‎, ‎j)$-entry is‎ $(d_id_j)^{\frac{-1}{2}}$‎ ‎if $v_i$ and $v_j$ are adjacent and 0 otherwise‎. ‎The Randi\'c energy of graph G is the sum of absolute values of the‎ ‎eigenvalues of R(G)‎. ‎In this study‎, ‎we determine the Kragujevac trees with a fixed degree and fixed order that have maximal and minimal Randić energy‎. Additionally‎, ‎we obtain upper and lower bounds for the Randić energy of these trees‎.