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Boletim da Sociedade Paranaense de Matemática
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Spectral radius of extended adjacency tensor of uniform hypergraphs

Authors: Shashwath S. Shetty; K. Arathi Bhat;

Spectral radius of extended adjacency tensor of uniform hypergraphs

Abstract

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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