The cyclic index of adjacency tensor of generalized power hypergraphs [PDF]
Discrete Mathematics, 2021 Let $G$ be a $t$-uniform hypergraph, and let $c(G)$ denote the cyclic index of the adjacency tensor of $G$. Let $m,s,t$ be positive integers such that $t \ge 2$, $s \ge 2$ and $m=st$. The generalized power $G^{m,s}$ of $G$ is obtained from $G$ by blowing up each vertex into an $s$-set and preserving the adjacency relation. It was conjectured that $c(G^{
Yi-Zheng Fan
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An upper bound for the Z-spectral radius of adjacency tensors [PDF]
Journal of Inequalities and Applications, 2018 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 ...
Zhi-Yong Wu +3 more
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On Spectral Hypergraph Theory of the Adjacency Tensor [PDF]
Graphs and Combinatorics, 2013 We study both $H$ and $E/Z$-eigenvalues of the adjacency tensor of a uniform multi-hypergraph and give conditions for which the largest positive $H$ or $Z$-eigenvalue corresponds to a strictly positive eigenvector. We also investigate when the $E$-spectrum of the adjacency tensor is symmetric.
Kelly J. Pearson, Tan Zhang
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On Adjacency and e-Adjacency in General Hypergraphs: Towards a New e-Adjacency Tensor [PDF]
Electronic Notes in Discrete Mathematics, 2018 In graphs, the concept of adjacency is clearly defined: it is a pairwise relationship between vertices. Adjacency in hypergraphs has to integrate hyperedge multi-adicity: the concept of adjacency needs to be defined properly by introducing two new concepts: $k$-adjacency - $k$ vertices are in the same hyperedge - and e-adjacency - vertices of a given ...
Ouvrard, Xavier Eric +2 more
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Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices [PDF]
Frontiers of Mathematics in China, 2020 arXiv admin note: substantial text overlap with arXiv:1902 ...
Fan, Yizheng, Zhu, Zhu, Wang, Yi
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Hyperspectral Image Dimension Reduction Using Weight Modified Tensor-Patch-Based Methods
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020 Dimension reduction (DR) addresses the problem known as the curse of dimensionality in myriad hyperspectral imagery applications. Although the spatial pattern may assist in the distinction between different land covers that have close spectral signatures,
Jinfei Wang, Boyu Feng
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PT-TDGCN: Pre-Trained Trend-Aware Dynamic Graph Convolutional Network for Traffic Flow Prediction [PDF]
SensorsAccurate traffic flow prediction is vital for intelligent transportation systems, yet strong spatiotemporal coupling and multi-scale dynamics make modelling difficult.
Hanqing Yang, Sen Wei, Yuanqing Wang
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Zeta functions for tensor products of locally coprime integral adjacency algebras of association schemes [PDF]
Communications in Algebra, 2017 The zeta function of an integral lattice $Λ$ is the generating function $ζ_Λ(s) = \sum\limits_{n=0}^{\infty} a_n n^{-s}$, whose coefficients count the number of left ideals of $Λ$ of index $n$. We derive a formula for the zeta function of $Λ_1 \otimes Λ_2$, where $Λ_1$ and $Λ_2$ are $\mathbb{Z}$-orders contained in finite-dimensional semisimple ...
Allen Herman, Mitsugu Hirasaka
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Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks [PDF]
EntropyRecent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL states and QL gate operations, which emerge from the dynamics of complex, synchronized networks. The present work extends these ideas to multi-level
Debadrita Saha, Gregory D. Scholes
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Memory-Augmented Spatio-Temporal Transformer for Robust Traffic Flow Forecasting [PDF]
BiomimeticsAccurate traffic flow prediction plays a critical role in intelligent transportation systems, supporting traffic management, congestion mitigation, and efficient utilization of road resources.
Puqing Hu +6 more
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