University of Kashan Mathematics Interdisciplinary Research 2538-3639 9 3 2024 09 01 Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs 269 288 114476 10.22052/mir.2024.254116.1456 EN Gholam Hassan Shirdel Department of Mathematics, University of Qom, ‎Qom‎, ‎I‎. ‎R‎. ‎Iran 0000-0003-2759-4606 Ameneh Mortezaee Department of Mathematics, University of Qom, ‎Qom‎, ‎I‎. ‎R‎. ‎Iran Laith Alaameri Department of Mathematics, University of Qom, ‎Qom‎, ‎I‎. ‎R‎. ‎Iran Journal Article 2024 01 02 ‎The Randi´c matrix $R=[r_{ij}]$ of a graph $ G=(V,E) $ was defined as $r_{ij}=\frac{1}{\sqrt{d_id_j}}$ if vertices $v_i$ and $v_j$ are adjacent and $r_{ij}=0$ otherwise‎, ‎where $d_i$ is the degree of the vertex $v_i\in V$‎. ‎In this paper‎, ‎we define the Randi´c matrix of a uniform hypergraph and study some its spectral properties‎. ‎We also define the Randi´c energy of a uniform hypergraph and determine some upper and lower bound for it‎. Randi´c matrix‎ ‎Randi´c energy‎ ‎Uniform hypergraph‎ ‎eigenvalue‎ https://mir.kashanu.ac.ir/article_114476_bc3fc510e1b2f2543448dca075f2af30.pdf