Minimum Size of Some Metrics for the Graph H(n)H(n), the Line Graph of the Graph H(n)H(n) and the Cartesian product Cn□PkC_n\Box P_k

For an arranged subset $Q = \{q_1, q_2, ..., q_k\}$ of vertices in a connected graph $G$ the metric representation of a vertex $v$ in $G$, is the $k$-vector $r(v | Q) = (d(v, q_1), d(v, q_2), ..., d(v, q_k ))$ relative to $Q$. Also, the subset $Q$ is considered as resolving set for $G$ if any pair of vertices of $G$ is distinguished by some vertices of $Q$. In the present article, we study the minimum size of resolving set, and doubly resolving set for the graph $H(n)$, and the line graph of the graph $H(n)$ is denoted by $L(n)$. Also, we compute some metrics for the Cartesian product $C_n\Box P_k$ based on the resolving sets in graphs. It is well known that these problems are NP hard

On the Spectrum of a Class of Distance-transitive Graphs

Let $\Gamma=Cay(\mathbb{Z}_n, S_k)$ be the Cayley graph on the cyclic additive group $\mathbb{Z}_n$ $(n\geq 4),$ where $S_1=\{1, n-1\}$, \dots , $S_k=S_ {k-1}\cup\{k, n-k\}$ are the inverse-closed subsets of $\mathbb{Z}_n-\{0\}$ for any $k\in \mathbb{N}$, $1\leq k\leq [\frac{n}{2}]-1$. In this paper, we will show that $\chi(\Gamma) = \omega(\Gamma)=k+1$ if and only if $k+1|n$. Also, we will show that if $n$ is an even integer and $k=\frac{n}{2}-1$ then $Aut(\Gamma)\cong\mathbb{Z}_2 wr_{I} {Sym}(k+1)$ where $I=\{1, \dots , k+1\}$ and in this case, we show that $\Gamma$ is an integral graph

Etiology of the Neonatal Seizures: An Epidemiological Study

Background: Neonatal seizure is a rare neurologic condition. The current study aimed at determining the etiology of neonatal seizure.Methods: The current study evaluated the data of 100 neonates who were hospitalized at neonatal intensive care unit (NICU) during 2015-2017. A pediatric neurologist made the final diagnosis of seizure. Patients’ medical records were used to review neonatal seizure variables. SPSS (version 16) was used to perform the statistical analyses.Results: The current study enrolled 100 newborns (41% female) admitted to the NICU following the first episode of seizure and the body temperature of 36.8-39.2°C (mean: 37.2°C). Of 100 participants, 94 (94%) had acute symptomatic seizure and 6 (6%) were compatible with neonatal epilepsy syndrome criteria. According to the results, the commonest etiologies were the neonatal encephalopathy and hypoxic-ischemic encephalopathy constituting 82% of participants.Conclusion: The consequences of acute symptomatic seizures in neonates are determined mainly by the etiology of the seizures. Seizure burden and use of anti-seizure drugs may also have some impact, but this has yet to be fully defined

Trading-off Mutual Information on Feature Aggregation for Face Recognition

Despite the advances in the field of Face Recognition (FR), the precision of these methods is not yet sufficient. To improve the FR performance, this paper proposes a technique to aggregate the outputs of two state-of-the-art (SOTA) deep FR models, namely ArcFace and AdaFace. In our approach, we leverage the transformer attention mechanism to exploit the relationship between different parts of two feature maps. By doing so, we aim to enhance the overall discriminative power of the FR system. One of the challenges in feature aggregation is the effective modeling of both local and global dependencies. Conventional transformers are known for their ability to capture long-range dependencies, but they often struggle with modeling local dependencies accurately. To address this limitation, we augment the self-attention mechanism to capture both local and global dependencies effectively. This allows our model to take advantage of the overlapping receptive fields present in corresponding locations of the feature maps. However, fusing two feature maps from different FR models might introduce redundancies to the face embedding. Since these models often share identical backbone architectures, the resulting feature maps may contain overlapping information, which can mislead the training process. To overcome this problem, we leverage the principle of Information Bottleneck to obtain a maximally informative facial representation. This ensures that the aggregated features retain the most relevant and discriminative information while minimizing redundant or misleading details. To evaluate the effectiveness of our proposed method, we conducted experiments on popular benchmarks and compared our results with state-of-the-art algorithms. The consistent improvement we observed in these benchmarks demonstrates the efficacy of our approach in enhancing FR performance.Comment: Accepted to 22$^{nd}$ IEEE International Conference on Machine Learning and Applications 2023 (ICMLA

Neonatal Seizure and Afterward, Epilepsy: A Systematic Review

Background: The purpose of the current study is to estimate the incidence of epilepsy after neonatal seizure (NS) by reviewing of the latest studies on the relationship between NSs and epilepsy in newborns and also discuss risk factors may contribute to this relationship.Methods: A literature review was performed using the search terms “neonatal seizure AND epilepsy,” “newborns AND epilepsy,” “postneonatal epilepsy.” After exclusion of several studies, which did not meet inclusion criteria, the epilepsy incidence rate was measured by dividing the number of all cases of epilepsy who had a history of NS in selected studies considered with the number of all newborns enrolled to the studies minus the number of cases who lost the follow-ups.Results: By reviewing the literature, 13 studies were found, which completely meet the inclusion criteria and published between 2009 and 2019, of which three were population-based while the remaining studies performed hospital-based. Overall, the population evaluated in these series has been estimated to be 2438 newborns of which 454 died, and 300 missed the follow-ups. The incidence rate for afterward epilepsy in all 1684 subjects with NS was 20%, literally 343 of the NS subjects.Conclusion: The presented review enrolled the most recent studies encompassing enough and extended the time as well as adequate sample size. Epilepsy is considered a common outcome of NS, particularly in those with other neurodevelopmental comorbidities, even if there were always several limits associated with various study designs and condition

Landau Kleffner Syndrome and Misdiagnosis of Autism Spectrum Disorder: A Mini-Review

Autism spectrum disorders (ASD) is the name for a group of developmental disorders including a wide range of signs, symptoms and disability. Landau kleffner syndrome (LKS) or acquired epileptic aphasia is a pediatric disorder characterized by the association of epileptiform electroencephalographic (EEG) abnormalities and acquired aphasia. The early stages of the LKS may be manifested by the symptoms of the autism leading to misdiagnosis. Since LKS is a progressive disease, its misdiagnosis leads to a greater neurocognitive deterioration which may result in seizure in the final stages. The purpose of this review was to provide an overview of available researchs on ASD population and patients with LKS and relationship between these two diseases