Some Topics of Special Interest in Graph Theory

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Graceful Labeling for Step Grid Graph

We investigate a new graph which is called Step Grid Graph. We prove that the step grid graph is graceful. We have investigate some step grid graph related families of connected graceful graphs. We prove that path union of step grid graph,cycle of step grid graph and star of step grid graph are graceful graphs

Static Analysis of Electrostatically Actuated Micro Cantilever Beam

AbstractElectrostatically actuated micro devices experience a fundamental limit on their stable travel range due to a phenomenon called as the pull-in Instability. Accurate determination of pull-in parameters (pull-in displacement and pull-in voltage) is vital in the design of electrostatic micro actuators. A systematic method of analysis of prismatic type of electrostatic beam is discussed in this paper. Using Galerkin method static analysis is carried out. Behaviour of interaction of nonlinear electrostatic force with linear restoring force of the micro cantilever beam is studied. Static analysis using COMSOL multiphysics finite element package is done to validate the results. The results are also compared with existing literature

Absolute Mean Graceful Labeling in Path Union of Various Graphs

Present paper aims to focus on absolute mean graceful labeling in path union of various graphs. We proved path union of graphs like tree, path Pn, cycle Cn, complete bipartite graph Km, n, grid graph PM × Pn, step grid graph Stn and double step grid graph DStn are absolute mean graceful graphs

Can One Teach Old Drugs New Tricks? Reformulating to Repurpose Chloroquine and Hydroxychloroquine

The outbreak of the novel corona virus disease, COVID-19, has presented health care professionals with the unique challenges of trying to select appropriate pharmacological treatments with little time available for drug testing. Given the development times and manufacturing requirements for new products, Value Added Medicines (repurposing – reformulation of existing drugs) could be one possibility to beat the COVID-19 outbreak. This review explores reformulation alternatives which could be progressed with chloroquine and hydroxychloroquine; two antimalarial drugs, that are being tested on a global scale as a potential therapeutic option. The key areas for improvement have been reviewed and the potential solutions to the problems and limitations of current formulations are discussed. The pharmaceutical challenges discussed are those of highly soluble drugs, needed to be given at high doses and presenting a real bitter taste challenge with significant gastrointestinal side effects that could be translated and repurposed into fit for purpose reformulations

Risk factors associated with short-term complications in mandibular fractures: the MANTRA study—a Maxillofacial Trainee Research Collaborative (MTReC)

Abstract Introduction Complications following mandibular fractures occur in 9–23% of patients. Identifying those at risk is key to prevention. Previous studies highlighted smoking, age and time from injury to presentation as risk factors but rarely recorded other possible confounders. In this paper, we use a collaborative snapshot audit to document novel risk factors and confirm established risks for complications following the treatment of mandibular fractures. Methods The audit was carried out by 122 OMFS trainees across the UK and Ireland (49 centres) over 6 months, coordinated by the Maxillofacial Surgery Trainees Research Collaborative. Variables recorded included basic demography, medical and social history, injury mechanism and type, management and 30-day outcome. Results Nine hundred and forty-seven (947) patients with fractured mandibles were recorded. Surgical management was carried out in 76.3%. Complications at 30 days occurred 65 (9%) of those who were managed surgically. Risk factors for complications included male sex, increasing age, any medical history, increasing number of cigarettes smoked per week, increasing alcohol use per week, worse oral hygiene and increased time from injury to presentation. Discussion We have used a large prospective snapshot audit to confirm established risk factors and identify novel risk factors. We demonstrate that time from injury to presentation is confounded by other indicators of poor health behaviour. These results are important in designing trial protocols for management of mandibular fractures and in targeting health interventions to patients at highest risk of complications. </jats:sec

Ethnobotanical Profiling and Floristic Diversity of the Miyawaki Plantation in Saurashtra University Campus, Rajkot

The investigation was carried out in order to explore the existing floristic composition of the Miyawaki plantation, recently developed in the Saurashtra University campus, Rajkot. The main aspect of the study is to prepare an ethnobotanical and pharmacological inventory of the recorded plant species from the study area. The fieldwork was conducted for a period of four months regularly in the study area. This study revealed that most of the species as documented are total 71 plant species belonging to 62 genera and 32 families, could be used for the various medicinal purposes from Miyawaki plantation. Present investigation provides a huge lump of ethnobotanical significance and it is an urgent need to document uses of plants for future domestication. Keywords: Miyawaki, Ethnobotany, Plantation, Floristic diversity, Medicinal plants&nbsp;&nbsp