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arXiv · 2107.03837

Estrada index and subgraph centrality of hypergraphs via tensors

Hong Zhou·Lizhu Sun·Changjiang Bu
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Abstract

Uniform hypergraphs have a natural one-to-one correspondence to tensors. In this paper, we investigate the Estrada index and subgraph centrality of an $m$-uniform hypergraph $\mathcal{H}$ via the adjacency tensor. We establish some bounds for the Estrada index and give expressions of the subgraph centrality in terms of graph parameters of the multi-digraphs associated with $\mathcal{H}$. When $\mathcal{H}$ is $2$-uniform, the above Estrada index and subgraph centrality are the Estrada index and subgraph centrality of a graph.

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Hong Zhou, Lizhu Sun, Changjiang Bu. 2021-07-08. Estrada index and subgraph centrality of hypergraphs via tensors. https://arxiv.org/abs/2107.03837

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