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arXiv · 2309.16925

Lexicographical ordering of hypergraphs via spectral moment

Hong Zhou·Changjiang Bu
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Abstract

The lexicographical ordering of hypergraphs via spectral moments is called the $S$-order of hypergraphs.In this paper, the $S$-order of hypergraphs is investigated.We characterize the first and last hypergraphs in an $S$-order of all uniform hypertrees and all linear unicyclic uniformhypergraphs with given girth, respectively. And we give the last hypergraph in an $S$-order of all linear unicyclic uniform hypergraphs.

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Hong Zhou, Changjiang Bu. 2023-09-29. Lexicographical ordering of hypergraphs via spectral moment. https://arxiv.org/abs/2309.16925

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