Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs

‎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.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2024-09-01
DOI
https://doi.org/10.22052/mir.2024.254116.1456
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs

SHILAP Revista de lepidopterología
Graph theory and applications
article

Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs

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Abstract

‎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.

SHILAP Revista de lepidopterología
University of Qom (IR)
Openalex Percentile: Top 55%
Graph theory and applications
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Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs · SHILAP Revista de lepidopterología (2024) | TGRS Research Map | TGRS