We present a very simple, cryptographic, Byzantine-agreement protocol that, with n = 3t + 1 players, t of which are malicious, halts in expected 9 rounds.

Let t ≥ 6 be an integer. We show that if G is a (3t − 3)/2 -connected K1,t-free graph, then G has a 4-factor.

[Introduction] Lateral geniculate nucleus (LGN) functions as a thalamic relay station in the projection of visual pathway from retinal ganglion cells to the primary visual cortex. A recent MR imaging study of human LGN in vivo demonstrated that the height of LGN is smaller in glaucoma patients than normal (those without glaucoma) subjects [1]. This study implies that morphometry of LGN is an im...

Nineteen tosylated acyl hydrazone derivatives were synthesized, and their inhibitory activities against monoamine oxidases (MAOs), acetylcholinesterase (AChE), butyrylcholinesterase (BChE), β-secretase (BACE-1) evaluated. Compound 3o was the most potent inhibitor of MAO-A, with an IC50 value 1.54 µM, followed by 3a (IC50 = 3.35 µM). A structural comparison indicated that 3-F group in increased ...

BACKGROUND AND PURPOSE The anterior commissure (AC) and substantia innominata (SI) can be clearly demonstrated at 3T high-resolution MR imaging. Our aim was to investigate if atrophy of the AC and SI on 3T MR imaging differs among patients with frontotemporal lobar degeneration (FTLD) and Alzheimer dementia (AD) and healthy subjects. MATERIALS AND METHODS Seven consecutive patients with FTLD,...

D. A. Porter, R. M. Heidemann MR Applications Development, Siemens Medical Solutions, Erlangen, Germany Introduction Diffusion-weighted, single-shot EPI suffers from considerable susceptibility-based distortion artefact at 3T. Although the effects can be mitigated by using a partially parallel imaging (PPA) technique to reduce the effective echo-spacing [1], there are significant residual artef...

Functional MRI (fMRI) used for neurosurgical planning delineates functionally eloquent brain areas by time-series analysis of task-induced BOLD signal changes. Commonly used frequentist statistics protect against false positive results based on a p-value threshold. In surgical planning, false negative results are equally if not more harmful, potentially masking true brain activity leading to er...

We continue the classification of the regular simple graphs in which, for some t, any two adjacent vertices have exactly t common neighbors, and the union of their neighbor sets misses exactly two vertices. Previously it was shown that for any such graph with n vertices, if t > 0 then t + 8 ≤ n ≤ 3t + 6. Here we show that there is exactly one such graph on n = 3t+ 6 vertices, for each t = 1, 2,...