2023
DOI: 10.21203/rs.3.rs-2546099/v1
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The ϵ-spectral radii of k-uniform hypertrees *

Abstract: The \epsilon-spectral radius of a connected hypergraph is the largest eigenvalue of its eccentricity matrix. Let \mathcal{T}_{m,d} be the set of k-uniform hypertrees with size m and diameter d. In this paper, we show that the eccentricity matrix of a k-uniform hypertree is irreducible, and we characterize the unique hypertrees with the minimum-spectral radius among \bigcup_{d\neq3}\mathcal{T}_{m,d}. AMS Classi cation: 05C50, 05C65

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“…Wang & Satake, 2021;Y. Wang et al, 2023;Li & Goda, 2023). Although the adjoint method has been tested on DART (Deepocean assessment and recording of tsunamis) buoys and IOC (Intergovernmental Oceanographic Commission) tide gauge recordings of the 2014 M w 8.2 Iquique earthquake (Zhou et al, 2019), it has not yet been applied to dense, near-field recordings from an ocean bottom pressure gauge network.…”
Section: Introductionmentioning
confidence: 99%
“…Wang & Satake, 2021;Y. Wang et al, 2023;Li & Goda, 2023). Although the adjoint method has been tested on DART (Deepocean assessment and recording of tsunamis) buoys and IOC (Intergovernmental Oceanographic Commission) tide gauge recordings of the 2014 M w 8.2 Iquique earthquake (Zhou et al, 2019), it has not yet been applied to dense, near-field recordings from an ocean bottom pressure gauge network.…”
Section: Introductionmentioning
confidence: 99%