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arXiv · 2206.00109

Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs

Cunxiang Duan·Edwin R. van Dam·Ligong Wang
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Abstract

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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Cunxiang Duan, Edwin R. van Dam, Ligong Wang. 2022-05-22. Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs. https://arxiv.org/abs/2206.00109

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