The α-spectral radius of f-connected general hypergraphs

Duan, Cunxiang; Wang, Ligong

doi:10.1016/j.amc.2020.125336

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Cited by 6 publications

(4 citation statements)

References 25 publications

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“…Just like for ordinary graphs, the spectrum of a hypergraph has a close relationship with the structure of the hypergraph. Since then, it has attracted the attention of many researchers and the spectral theory of (uniform) hypergraphs has developed rapidly, see e.g., [3,[11][12][13][14]19,[22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

Duan,

van Dam,

Wang

2023

Linear Algebra and its Applications

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Section: Introductionmentioning

confidence: 99%

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

Duan,

van Dam,

Wang

2023

Linear Algebra and its Applications

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“…Because of the many results relating eigenvalues of graphs and structural properties, it is also natural to consider eigenvalues of uniform hypergraphs. For some general results about the spectrum of hypergraphs, see [3,12,13,25,26].…”

Section: Introductionmentioning

confidence: 99%

Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

Duan¹,

Dam²,

Wang³

2022

Preprint

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We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an r-uniform hypergraph H, we derive an order r + 1 trace formula of the (signless) Laplacian tensor of H. Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.

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“…The eigenvalues of tensors are useful tool to study the properties of hypergraphs, such as the connectivity [12,13], partitioning and so on. The research of spectral hypergraph theory via tensors has developed rapidly [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Estrada index of hypergraphs via eigenvalues of tensors

Hong¹,

Sun²,

Bu³

2021

Preprint

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A uniform hypergraph H is corresponding to an adjacency tensor A H . We define an Estrada index of H by using all the eigenvalues λ 1 , . . . , λ k of A H as k i=1 e λi . The bounds for the Estrada indices of uniform hypergraphs are given. And we characterize the Estrada indices of m-uniform hypergraphs whose spectra of the adjacency tensors are m-symmetric. Specially, we characterize the Estrada indices of uniform hyperstars.

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The α-spectral radius of f-connected general hypergraphs

Cited by 6 publications

References 25 publications

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

Estrada index of hypergraphs via eigenvalues of tensors

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