Spectral Radius of Extended Adjacency Tensor of Uniform Hypergraphs

Hypergraphs are a useful tool in chemistry for representing intricate molecular structures and their interactions. The topological indices of hypergraphs provide valuable insights into the structural characteristics of complex molecular systems. The tensor representations are more preferred than the matrix representations of hypergraphs since they maintain complete information about the hypergraphs. In this article, the notion of adjacency tensor has been generalized to degree-based extended adjacency tensors, and hence the bounds for the spectral radius of uniform hypergraphs. Also, the spectral properties of the extended adjacency tensor of a sunflower hypergraph have been put forward.