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Minimizing the distance spectral radius of uniform hypertrees with given parameters

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Abstract

The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper, we determine the unique hypertrees that minimize the distance spectral radius among all uniform hypertrees with fixed size and one of the parameters, such as number of pendant edges, diameter, and maximum degree that is more than half of the size.

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Funding

This work was supported by National Natural Science Foundation of China (no. 12071158).

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Correspondence to Bo Zhou.

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Communicated by Leonardo de Lima.

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Li, C., Zhou, B. Minimizing the distance spectral radius of uniform hypertrees with given parameters. Comp. Appl. Math. 42, 272 (2023). https://doi.org/10.1007/s40314-023-02404-9

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  • DOI: https://doi.org/10.1007/s40314-023-02404-9

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