Results 31 to 40 of about 196,247 (278)

A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

Journal of Inequalities and Applications, 2020
In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
doaj   +1 more source

Adjacency and Tensor Representation in General Hypergraphs Part 1: e-adjacency Tensor Uniformisation Using Homogeneous Polynomials

CoRR, 2017
Adjacency between two vertices in graphs or hypergraphs is a pairwise relationship. It is redefined in this article as 2-adjacency. In general hypergraphs, hyperedges hold for $n$-adic relationship. To keep the $n$-adic relationship the concepts of $k$-adjacency and e-adjacency are defined. In graphs 2-adjacency and e-adjacency concepts match, just as $
Xavier Ouvrard, Jean-Marie Le Goff, Stéphane Marchand-Maillet   +2 more
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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 ...
Herman, Allen, Hirasaka, Mitsugu, Oh, Semin   +2 more
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A Heuristic for Direct Product Graph Decomposition

Journal of Graph Algorithms and Applications, 2023
In this paper we describe a heuristic for decomposing a directed graph into factors according to the direct product (also known as Kronecker, cardinal or tensor product). Given a directed, unweighted graph $G$ with adjacency matrix $\mathbf{Adj}(G)$, our
Luca Calderoni, Luciano Margara, Moreno Marzolla   +2 more
doaj   +1 more source

Clinical Uses of Diffusion Tensor Imaging Fiber Tracking Merged Neuronavigation with Lesions Adjacent to Corticospinal Tract : A Retrospective Cohort Study [PDF]

Journal of Korean Neurosurgical Society, 2020
To investigate the efficiency of diffusion tensor imaging (DTI) fiber-tracking based neuronavigation and assess its usefulness in the preoperative surgical planning, prognostic prediction, intraoperative course and outcome improvement.Seventeen patients with cerebral masses adjacent to corticospinal tract (CST) were given standard magnetic resonance ...
Qi Yu, Kun Lin, Yunhui Liu, Xinxing Li
openaire   +2 more sources

Time-Evolving Graph Convolutional Recurrent Network for Traffic Prediction

Applied Sciences, 2022
Accurate traffic prediction is crucial to the construction of intelligent transportation systems. This task remains challenging because of the complicated and dynamic spatiotemporal dependency in traffic networks. While various graph-based spatiotemporal
Weimin Mai, Junxin Chen, Xiang Chen
doaj   +1 more source

Diffusion tensor imaging demonstrates deviation of fibres in normal appearing white matter adjacent to a brain tumour [PDF]

Journal of Neurology, Neurosurgery & Psychiatry, 2000
The objective was to study fibre orientation in the cerebral white matter of a patient with a brain tumour using diffusion tensor imaging (DTI). A patient with a mild left hemiparesis and a tumour in the right frontal lobe and 20 healthy volunteers were scanned with a DTI sequence.
WIESHMANN, UC, SYMMS, MR, PARKER, GJM, CLARK, CA, LEMIEUX, L, Barker, Gareth, SHORVON, SD   +6 more
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Volumetric Assessment of Tumor Infiltration of Adjacent White Matter Based on Anatomic MRI and Diffusion Tensor Tractography [PDF]

Academic Radiology, 2007
To perform a retrospective, quantitative assessment of the anatomic relationship between intra-axial, supratentorial, primary brain tumors, and adjacent white matter fiber tracts based on anatomic and diffusion tensor magnetic resonance imaging (MRI).
Ion-Florin, Talos, Kelly H, Zou, Ron, Kikinis, Ferenc A, Jolesz   +3 more
openaire   +2 more sources

Intelligent Site Selection of Distributed Photovoltaic Power Stations Based on a Multi-site Forecasting Model [PDF]

Zhengzhou Daxue xuebao. Gongxue ban
In order to improve the operational efficiency of photovoltaic (PV) power stations a proposal of multi-site forecasting model (MSFM) was proposed to addressing the multi-site location selection problem. In the proposed model, spatiotemporal correlation,
SONG Ling, CHANG Longtao, LYU Shunming, YANG Zhaohui, LIU Xinfeng, CHEN Guanzhong   +5 more
doaj   +1 more source

Supratentorial cavernous malformations adjacent to the corticospinal tract: surgical outcomes and predictive value of diffusion tensor imaging findings [PDF]

Journal of Neurosurgery, 2018
OBJECTIVEDiffusion tensor imaging (DTI) findings may facilitate clinical decision making in patients with supratentorial cavernous malformations adjacent to the corticospinal tract (CST-CMs). The objective of this study was to determine the predictive value of preoperative DTI findings for surgical outcomes in patients with CST-CMs.METHODSA ...
Yuanxiang, Lin, Fuxin, Lin, Dezhi, Kang, Yuming, Jiao, Yong, Cao, Shuo, Wang   +5 more
openaire   +2 more sources