An upper bound for the Z-spectral radius of adjacency tensors
Abstract Let H $\mathcal{H}$ be a k-uniform hypergraph on n vertices with degree sequence Δ=d1≥⋯≥dn=δ $\Delta=d_{1} \geq\cdots\geq d_{n}=\delta$. In this paper, in terms of degree di $d_{i}$, we give a new upper bound for the Z-spectral radius of the adjacency tensor of H $\mathcal{H}$. Some example...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1672-4 |
| Summary: | Abstract Let H $\mathcal{H}$ be a k-uniform hypergraph on n vertices with degree sequence Δ=d1≥⋯≥dn=δ $\Delta=d_{1} \geq\cdots\geq d_{n}=\delta$. In this paper, in terms of degree di $d_{i}$, we give a new upper bound for the Z-spectral radius of the adjacency tensor of H $\mathcal{H}$. Some examples are given to show the efficiency of the bound. |
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| ISSN: | 1029-242X |