Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs
نویسندگان
1 Department of Mathematics, University of Qom, Qom, I. R. Iran
2 Department of Mathematics, University of Qom, Qom, I. R. Iran
3 Department of Mathematics, University of Qom, Qom, I. R. Iran
doi
10.22052/mir.2024.254116.1456چکیده
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.
