Results 291 to 300 of about 20,975 (356)
Sensitivity and Hamming Graphs
Journal of Graph Theory, EarlyView.ABSTRACT For any m ≥ 3 $m\ge 3$ we show that the Hamming graph H ( n , m ) $H(n,m)$ admits an imbalanced partition into m $m$ sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m $m$‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
wiley +1 more source
Tight Bounds for Hypercube Minor‐Universality
Journal of Graph Theory, EarlyView.ABSTRACT A graph G $G$ is m $m$‐minor‐universal if every graph H $H$ with at most m $m$ edges and no isolated vertices is contained as a minor in G $G$. Recently, Benjamini, Kalifa and Tzalik proved that there is an absolute constant c>0 $c\gt 0$ such that the d $d$‐dimensional hypercube Qd ${Q}_{d}$ is (c⋅2d/d $c\cdot {2}^{d}/d$)‐minor‐universal ...
Emma Hogan +5 more
wiley +1 more source
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Fractional List Packing for Layered Graphs
Journal of Graph Theory, EarlyView.ABSTRACT The fractional list packing number χ ℓ • ( G ) ${\chi }_{\ell }^{\bullet }(G)$ of a graph G $G$ is a graph invariant that has recently arisen from the study of disjoint list‐colourings. It measures how large the lists of a list‐assignment L : V ( G ) → 2 N $L:V(G)\to {2}^{{\mathbb{N}}}$ need to be to ensure the existence of a “perfectly ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source
Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background Hyperpolarized 129Xe MRI faces technical challenges including low signal‐to‐noise ratio and breath‐hold constraints. Current literature focuses on proprietary deep learning methods or image‐domain enhancements. Purpose To present a comprehensive evaluation of transformer and hybrid CNN‐transformer architectures integrating dual ...
Ramtin Babaeipour +3 more
wiley +1 more source
A MR Fingerprinting Development Kit for Quantitative 3D Brain Imaging
Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background Magnetic resonance fingerprinting (MRF) is an emerging quantitative imaging technique that enables multiparametric tissue characterization, but its adoption has been hindered by the complexity of data acquisition and post‐processing. These technical and implementation challenges have limited its broader clinical deployment.
Rasim Boyacioglu +11 more
wiley +1 more source
Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background The demand for cardiac MRI is increasing with the growing burden of cardiovascular disease. However, conventional protocols require sequential acquisitions for multi‐breath‐hold 2D cine and 3D MR angiography (MRA), which is time‐consuming.
Ruixin Chen +7 more
wiley +1 more source
Beyond the Cartesian Split: The Dreambody Approach to Chronic Pain and Healing
Julian Ungar-Sargon
openalex +1 more source