Maximum Nullity and Forcing Number on Graphs with Maximum Degree at most Three
A dynamic coloring of the vertices of a graph $G$ starts with an initial subset $F$ of colored vertices, with all remaining vertices being non-colored. At each time step, a colored vertex with exactly one non-colored neighbor forces this non-colored neighbor to be colored.
Alishahi, Meysam +2 more
openaire +2 more sources
Long‐Term Efficacy of Immunotherapy in Autoimmune Autonomic Ganglionopathy—A 10‐Year Follow Up Study
ABSTRACT Objective Autoimmune autonomic ganglionopathy (AAG) is a rare but potentially treatable cause of severe autonomic failure. Evidence guiding long‐term immunotherapy, treatment sequencing, and residual autonomic impairment is limited. We evaluated long‐term treatment response, residual autonomic dysfunction, and relapse patterns in patients with
Giacomo Chiaro +6 more
wiley +1 more source
Safety and Efficacy of GLP‐1 Receptor Agonists in Adults With Epilepsy, Obesity, and Type 2 Diabetes
ABSTRACT Objective Managing obesity in patients with epilepsy is complicated by the weight‐gaining properties of essential antiseizure medications (ASMs) such as valproate and pregabalin. We evaluated the safety and efficacy of initiating glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) in this population.
Hyoshin Son +3 more
wiley +1 more source
Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation
ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal +10 more
wiley +1 more source
Subjective Cognitive Concerns and Cognitive Trajectories in Parkinson's Disease: Biomarker Impact
ABSTRACT Objective To examine the relationship of subjective cognitive concerns (SCC) with biomarkers of Alzheimer's disease (AD), neurodegeneration, and Parkinson's disease (PD) and domain‐specific cognitive trajectories among cognitively unimpaired persons with de novo PD. Method Cognitively unimpaired participants with SCC (n = 294) and without SCC (
Francesca V. Lopez +5 more
wiley +1 more source
Anticoagulation Treatment Response Among Phenotypic ESUS Clusters: Evidence From CASPR
ABSTRACT Objective To evaluate treatment effect heterogeneity across phenotypic clusters of patients with cryptogenic embolic stroke using causal inference methods. Methods From a retrospective, multicenter cohort of patients with cryptogenic embolic stroke, we estimated the treatment effect of anticoagulation versus antiplatelet therapy in patients ...
Elena Badillo Goicoechea +53 more
wiley +1 more source
Techniques for determining equality of the maximum nullity and the zero forcing number of a graph [PDF]
The maximum nullity of a simple graph $ G $ over a field $ \mathcal{F} $ is the maximum nullity over all symmetric matrices over $ \mathcal{F} $ whose $ ij$th entry (where $ i \neq j $ ) is nonzero if and only if $ ij $ is an edge in $ G $ and is zero ...
Young, Derek
core
Maximum nullity and zero forcing number on cubic graphs
Let $G$ be a graph. The maximum nullity of $G$, denoted by $M(G)$, is defined to be the largest possible nullity over all real symmetric matrices $A$ whose $a_{ij}\neq 0$ for $i\neq j$, whenever two vertices $u_i$ and $u_j$ of $G$ are adjacent. In this paper, we characterize all cubic graphs with zero forcing number $3$.
Akbari, Saieed +2 more
openaire +2 more sources
Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis
ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit +10 more
wiley +1 more source
ABSTRACT Objective To evaluate automatic magnetic resonance imaging (MRI)‐derived lesion morphometrics against manual measurements and their prognostic value for characterizing distinct acute to chronic neurological recovery trajectories after spinal cord injury (SCI). Methods We studied a retrospective, multicenter cohort of cervical and thoracolumbar
Dario Pfyffer +28 more
wiley +1 more source

