Results 11 to 20 of about 449,987 (313)

Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study [PDF]

Journal of High Energy Physics, 2020
We carry out a detailed exploration of the deformations of rank-two five-dimensional superconformal field theories (SCFTs) T X $$ {\mathcal{T}}_{\mathbf{X}} $$ , which are geometrically engineered by M-theory on the space transverse to isolated toric ...
Vivek Saxena
doaj   +2 more sources

Dilation Theory for Rank 2 Graph Algebras

, 2007
29 pages, 5 ...
Kenneth R. Davidson, S. C. Power, Dilian Yang   +2 more
openalex   +4 more sources

On the K-theory of higher rank graph C*-algebras

, 2004
Given a row-finite $k$-graph $ $ with no sources we investigate the $K$-theory of the higher rank graph $C^*$-algebra, $C^*( )$. When $k=2$ we are able to give explicit formulae to calculate the $K$-groups of $C^*( )$. The $K$-groups of $C^*( )$ for $k>2$ can be calculated under certain circumstances and we consider the case $k=3$. We prove that
D. Gwion Evans
openalex   +4 more sources

Asymptotic tensor rank of graph tensors: beyond matrix multiplication [PDF]

Computational Complexity, 2019
We present an upper bound on the exponent of the asymptotic behaviour of the tensor rank of a family of tensors defined by the complete graph on $k$ vertices.
Christandl, Matthias, Vrana, Péter, Zuiddam, Jeroen   +2 more
core   +5 more sources

Identifying Influential Nodes Based on Evidence Theory in Complex Network [PDF]

Entropy
Influential node identification is an important and hot topic in the field of complex network science. Classical algorithms for identifying influential nodes are typically based on a single attribute of nodes or the simple fusion of a few attributes ...
Fu Tan, Xiaolong Chen, Rui Chen, Ruijie Wang, Chi Huang, Shimin Cai   +5 more
doaj   +2 more sources

On the K-theory of twisted higher-rank-graph C*-algebras [PDF]

, 2012
Alex Kumjian, David Pask, Aidan Sims
semanticscholar   +4 more sources

Deep generative model for the inverse design of Van der Waals heterostructures [PDF]

Scientific Reports
This study proposes ConditionCDVAE+, a crystal diffusion variational autoencoder (CDVAE) based deep generative model for inverse design of van der Waals (vdW) heterostructures.
Shikun Gao, Qinyuan Huang, Chen Huang, Cheng Li, Kaihao Liu, Baisheng Sa, Yadong Yu, Dezhen Xue, Zhe Liu, Mengyan Dai   +9 more
doaj   +2 more sources

Dilation theory for rank two graph algebras.

, 2010
An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more generally, with commutation relations determined by a unitary matrix $u$ in $M_m(\bC) \otimes M_n ...
Kenneth R. Davidson, S. C. Power, Dilian Yang   +2 more
openalex   +2 more sources

The treewidth of 2-section of hypergraphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2021
Let $H=(V,F)$ be a simple hypergraph without loops. $H$ is called linear if $|f\cap g|\le 1$ for any $f,g\in F$ with $f\not=g$. The $2$-section of $H$, denoted by $[H]_2$, is a graph with $V([H]_2)=V$ and for any $ u,v\in V([H]_2)$, $uv\in E([H]_2)$ if ...
Ke Liu, Mei Lu
doaj   +1 more source

Rank Collapse Causes Over-Smoothing and Over-Correlation in Graph Neural Networks [PDF]

LOG IN, 2023
Our study reveals new theoretical insights into over-smoothing and feature over-correlation in graph neural networks. Specifically, we demonstrate that with increased depth, node representations become dominated by a low-dimensional subspace that depends
Andreas Roth, T. Liebig
semanticscholar   +1 more source