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In this modern world, healthcare monitoring is essential to save human lives. The Internet of Things (IoT) plays a vital role in the monitoring of healthcare and also in improving healthcare diagnostics. The IoT is utilized to manage patients' information as well as to detect diseases early. Thus, we proposed Levy Chaotic Optimization-based Enhanced Graph Convolutional (LCO–ECG) Network for health monitoring in sports athletic. The Hyperparameter of enhanced graphical convolutional neural network is optimized using Levy Chaotic gravitational search algorithm (LCGSA). Also, using LCGSA, the weights are tuned to enhance the efficiency of the resulting ensemble model. The ECG model is applied to get more significant feature information. An action detection system's accuracy will increase as a result. Here, to validate the proposed method we utilized two datasets including Kinematic gait data using a Microsoft Kinect v2 sensor during gait sequences over a treadmill and Comprehensive Kinetic and EMG datasets. Also, accuracy, precision, recall, F1-score, and AUC are the performance metrics utilized to evaluate classification performance more effectively. The proposed method attained the measures of 95.32%, 94.25%, 95.41%, and 95.97%. [ABSTRACT FROM AUTHOR]

Let G be a finite non-abelian group and Z(G) be its center. We associate a commuting graph Γ (G) to G, whose vertex set is G \ Z (G) and two distinct vertices are adjacent if they commute. In this paper we prove that the set of all non-abelian groups whose commuting graph has maximum vertex degree bounded above by a fixed k ∈ N is finite. Also, we characterize all groups for which the associated commuting graphs have maximum vertex degree at most 4. [ABSTRACT FROM AUTHOR]

The Internet of Medical Things (IoMT) has included a new layer for development and smart infrastructure growth in the medical field. Besides, the medical data on IoMT systems are constantly expanding due to the rising peripherals in the health system. This paper introduces a new fusion technique in the shearlet domain to improve existing methods, which may provide medical image fusion in the IoMT system. In this paper, firstly low and high frequencies NSST coefficients are obtained of both input images. Over the low frequency component, a new Multi local extrema (MLE) based decomposition is performed to get more detail features (Coarse and detail layers). Over these MLE features saliency based weighted average is performed using co-occurrence filter to get the enhanced low frequency NSST Coefficients. These enhanced low frequency NSST Coefficients of both input images are fused using the proposed weighted function. In high frequency NSST Coefficients, local type-2 fuzzy entropy-based fusion is performed. Finally, inverse NSST is performed to get the final fused image. The experimental results are evaluated and compared with existing methods by visually and also by performance metrics. After a critical analysis, it was found that the results of the proposed method give better outcomes compared to similar and recent existing schemes. [ABSTRACT FROM AUTHOR]

Let g be a Kac–Moody Lie algebra with the associated graph G. In (Venkatesh and Sankaran Viswanath J Algebraic Comb 41(4):1133–1142, 2015), an expression for the chromatic polynomial of G in terms of root multiplicities of g is proved. In this paper, using heaps of pieces, we prove an analogous result for the case of free partially commutative Lie algebra L (G) . In addition, we will extend this result to the case of generalised k -chromatic polynomials. This will give us a new interpretation for the chromatic polynomials in terms of multilinear heaps and Lyndon length. The classical results of Stanley and Greene and Zaslavsky regarding the acyclic orientations of G are obtained as corollaries. Following Lalonde, a heap with a unique minimal piece is said to be a pyramid and our main theorem is proved using the properties of pyramids. For this reason, we prove two important properties of pyramids, namely the pyramid proportionality lemma, and the pyramid and Lyndon heap lemma. In the last section, we will introduce the (m , λ) -labelling on acyclic orientations which is similar to Stanley's λ -compatible pairs. As an application of our main theorem, using this (m , λ) -labelled acyclic orientations, we will prove the reciprocity theorem for the derivatives of the chromatic polynomials. [ABSTRACT FROM AUTHOR]

Let G be a finite group. A number of graphs with the vertex set G have been studied, including the power graph, enhanced power graph, and commuting graph. These graphs form a hierarchy under the inclusion of edge sets, and it is useful to study them together. In addition, several authors have considered modifying the definition of these graphs by choosing a natural equivalence relation on the group such as equality, conjugacy, or equal orders, and joining two elements if there are elements in their equivalence class that are adjacent in the original graph. In this way, we enlarge the hierarchy into a second dimension. Using the three graph types and three equivalence relations mentioned gives nine graphs, of which in general only two coincide; we find conditions on the group for some other pairs to be equal. These often define interesting classes of groups, such as EPPO groups, 2-Engel groups, and Dedekind groups. We study some properties of graphs in this new hierarchy. In particular, we characterize the groups for which the graphs are complete, and in most cases, we characterize the dominant vertices (those joined to all others). Also, we give some results about universality, perfectness, and clique number. [ABSTRACT FROM AUTHOR]

The work presented in the article proposes a new rule-based energy management algorithm to improve the autonomy of hybrid (AC/DC) microgrids consisting of higher quantum of heating loads and renewable energy sources. The objective of the algorithm is to make the microgrids more autonomous by reducing the power import from the utility grid, during generation deficits. The heating or lighting loads in this work are considered as non-critical loads, and all other voltage sensitive loads are classified as critical loads. The presented strategy makes the AC and DC non-critical loads operate in power saving modes during generation insufficiency by controlling the electric springs based on the voltage produced by the renewables. Usage of electric springs in the microgrids consisting of AC and DC loads and a couple of renewable sources to improve the autonomous operation of microgrids is probably the first attempt. The advantage of using the suggested methodology is that it operates the voltage insensitive loads, based on the prevailing power generation condition without completely curtailing them. Further, the effectiveness of the algorithm is tested by developing suitable simulation models in MATLAB and also a scaled down laboratory setup is developed using dSPACE 1104 real-time operating system. The simulation and experimental results prove that the algorithm is effective enough in reducing the power import from the main grid. [ABSTRACT FROM AUTHOR]

A low stacking fault energy material is subjected to warm working as well as hot working, i.e. in the temperature range 873 K (600 °C)–1173 K (900 °C). The evolution of microstructure is quantified using average grain size and grain size distributions. The microstructural transitions resulting from continuous dynamic recrystallization and discontinuous dynamic recrystallization are examined. The resultant softening is studied using macro- and micro-indentation experiments. The applicability of empirical relations between hardness and microstructural parameters is critically examined. The SFE at each of these temperatures is evaluated using a thermodynamic model and correlated with the softening mechanism. [ABSTRACT FROM AUTHOR]

Worldwide, there is a rise in the incidence of dengue infection associated with multiple serotypes. Epidemiological studies have reported a higher incidence of severe dengue in secondary dengue infections. A rapid fall in platelet count associated with an increase in hematocrit above the baseline is one of the warning signs of plasma leakage. This study was undertaken to determine the utility of platelet indices such as mean platelet volume (MPV), platelet distribution width (PDW) and plateletcrit in dengue fever cases with thrombocytopenia. A hospital-based cross-sectional study was carried out between April and September 2014, among dengue patients with thrombocytopenia using platelet histograms. The study population included all the laboratory confirmed cases of dengue infection with thrombocytopenia admitted at Kasturba Medical College, Manipal, Karnataka during the study period. The blood samples collected from serologically confirmed dengue patients with thrombocytopenia were analyzed using automated analyzer within 2 h of venipuncture. The platelet histograms (MPV, PDW, Plateletcrit) generated by the Beckman Coulter counter LH755™ and LH780™ series were assessed in dengue fever cases with thrombocytopenia. The mean platelet volume (MPV) was observed to be 9.01 fL (SD = 0.09). The mean platelet distribution width and median plateletcrit were 17.2% (SD = 0.98) and 0.47 (IQR 0.2-0.8) respectively. None of the study participants presented with bleeding manifestations. The present study revealed no significant changes of platelet parameters in dengue cases with thrombocytopenia. [ABSTRACT FROM AUTHOR]

The absolute value of the coefficient of q in the chromatic polynomial of a graph G is known as the chromatic discriminant of G and is denoted α(G). There is a well known recurrence formula for α(G) that comes from the deletion-contraction rule for the chromatic polynomial. In this paper we prove another recurrence formula for α(G) that comes from the theory of Kac- Moody Lie algebras. We start with a brief survey on many interesting algebraic and combinatorial interpretations of α(G). We use two of these interpretations (in terms of acyclic orientations and spanning trees) to give two bijective proofs for our recurrence formula of α(G). [ABSTRACT FROM AUTHOR]

The paper presents a robust control law for homing of an autonomous robot. The proposed work aims to solve this problem for practical conditions such as random errors in commanded velocities and unknown distance sensor characteristics. The proposed steering control aligns the robot's orientation with homing vector using arbitrary real valued distance function providing the capability to work in changing environment conditions. Finite time convergence to the equilibrium using proposed control law is achieved in the presence of bounded random velocity errors regardless of the initial position and orientation. Just the sign information as feedback supports applicability of proposed control law with any distance function. A matching parameter between panoramic images obtained at home and current positions is a function of distance between home and current positions. However, explicit relation between distance and image matching parameter is unknown. This work demonstrates the application of proposed method for visual homing based on image distance function rendering the benefit of minimal image processing. Various simulation and experimental results are presented for visual homing to support the theory presented in this paper. Advantage of proposed visual homing is also explored in changing environment conditions. [ABSTRACT FROM AUTHOR]

Hand, foot, and mouth disease (HFMD) is a contagious viral disease and mainly affects infants and young children. The main manifestations are fever, vesicular rashes on hand, feet and buttocks and ulcers in the oral mucosa. Usually, HFMD is self-limiting, but a small proportion of children may experience severe complications such as meningitis, encephalitis, acute flaccid paralysis and neurorespiratory syndrome. Historically, outbreaks of HFMD were mainly caused by two enteroviruses: the coxsackievirus A16 (CV-A16) and the enterovirus 71 (EV-A71). In the recent years, coxsackievirus A6 and coxsackievirus A10 have been widely associated with both sporadic cases and outbreaks of HFMD worldwide, particularly in India, South East Asia and Europe with an increased frequency of neurological complications as well as mortality. Currently, there is no pharmacological intervention or vaccine available for HFMD. A formalin-inactivated EV-A71 vaccine has completed clinical trial in several Asian countries. However, this vaccine cannot protect against other major emerging etiologies of HFMD such as CV-A16, CV-A6 and CV-A10. Therefore, the development of a globally representative multivalent HFMD vaccine could be the best strategy. [ABSTRACT FROM AUTHOR]

The continual changes in requirements impact the expectation about the quality of the product as well as the process, namely software project. In this paper, the various limitations that still exist in the software development process are presented. It is aimed to develop a new quality improvement model to enhance software quality without increasing effort, cost, and time. To achieve a software project of expected quality, a new quality improvement model, namely Kano Lean Six Sigma model (KLSS), is proposed. The KLSS model is used to identify the exact requirements for the software project from the customer's perspective. KLSS helps to categorize the requirements based on the nature of the defect, to eliminate the requirements of non-value processes and to implement the main functionality to meet the expectations of the customer. As regards our proposed software maintenance project, the method of development has been suitably tested in a leading IT company. The model has shown greater improvement in quality, cost, and efforts. [ABSTRACT FROM AUTHOR]