Results on Möbius index for standard graphs

This paper is concerned with calculating the Möbius index values and arrived results for a few standard graphs. Some standard graphs which we considered are Path graph, Cycle graph, Complete Graph, Star Graph, Shell graph, Wheel Graph, Gear graph, Helm Graph, the Web graph, Flower Graph.Publisher's Versio

Effect of Carbon Black from Ageratina Adenophora and Various other Carbon Anode Plate Additives on the Performance of Lead Acid Batteries

Received: 16.02.2024. Revised: 14.03.2024. Accepted: 21.03.2024. Available online: 08.04.2024.The small-sized PbO2 particles form a well-interconnected agglomerate structure, aligning with micro and macro structure of NAM.The cells made up of CBAa and Carbon Vulcan the capacity loss was less even after 175 cycles.Capacity loss to a larger extent in case of Carbon N550, Carbon N330 and Carbon Vulcan.The incorporation of carbon materials in batteries serves to enhance its performance by improving conductivity, achieving uniform active material distribution, increasing capacity, mitigating sulfation, extending cycle life, and considering potential environmental benefits. Even though several possible mechanisms were reported, how exactly carbon works is not fully understood. In the present study a new form of carbon black was prepared from Ageratina adenophora (CBAa) and investigated for its impact on the electrical conductivity of the negative active material in 2 V lead acid cell. The performance was compared with other commercially available carbons like Graphite PG-10, Carbon N550, Carbon N330 and Carbon Vulcan. The carbon was characterised by XRD, SEM and grain size analysis. The initial capacity of the cell was consistently higher and remained stable at 4.6 W∙h; in the life cycle analysis, the cells showed 290 cycles. The post-life cycle test analysis showed that only a white layer on multiple plates indicating the onset of sulfation and there is no corrosion. The performance of the CBAa prepared in the present work was found to be better when compared with the commercially available carbons.The authors thank the Centre of Material Chemistry and Centre of Food and Nanotechnology, Karpagam Academy of Higher Education for using their instrument facility

The United States COVID-19 Forecast Hub dataset

Academic researchers, government agencies, industry groups, and individuals have produced forecasts at an unprecedented scale during the COVID-19 pandemic. To leverage these forecasts, the United States Centers for Disease Control and Prevention (CDC) partnered with an academic research lab at the University of Massachusetts Amherst to create the US COVID-19 Forecast Hub. Launched in April 2020, the Forecast Hub is a dataset with point and probabilistic forecasts of incident cases, incident hospitalizations, incident deaths, and cumulative deaths due to COVID-19 at county, state, and national, levels in the United States. Included forecasts represent a variety of modeling approaches, data sources, and assumptions regarding the spread of COVID-19. The goal of this dataset is to establish a standardized and comparable set of short-term forecasts from modeling teams. These data can be used to develop ensemble models, communicate forecasts to the public, create visualizations, compare models, and inform policies regarding COVID-19 mitigation. These open-source data are available via download from GitHub, through an online API, and through R packages

Brief survey on divisor graphs and divisor function graphs

AbstractNumber theoretic graphs are one of the emerging fields in Graph theory. This article is a study on existing research results on Number theoretic graphs, especially on Divisor Graphs [Formula: see text], Divisor Function Graphs (DFGs) and Divisor Cayley Graphs (DCGs). We have provided a brief survey on the benchmark findings regarding the above-mentioned graphs

On computation of neighbourhood degree sum-based topological indices for zinc-based metal–organic frameworks

The permeable materials known as metal–organic frameworks (MOFs) have a large porosity volume, excellent chemical stability, and a unique structure that results from the potent interactions between metal ions and organic ligands. Work on the synthesis, architectures, and properties of various MOFs reveals their utility in a variety of applications, including energy storage devices with suitable electrode materials, gas storage, heterogeneous catalysis, and chemical assessment. A topological index, which is a numerical invariant, predicts the physicochemical properties of chemical entities based on the underlying molecular graph or framework. In this article, we consider two different zinc-based MOFs, namely zinc oxide and zinc silicate MOFs. We compute 14 neighbourhood degree sum-based topological indices for these frameworks, and the numerical and graphical representations of all the aforementioned 14 indices are made

Coordinated Energy Management in Heterogeneous Processors

This paper examines energy management in a heterogeneous processor consisting of an integrated CPU–GPU for high-performance computing (HPC) applications. Energy management for HPC applications is challenged by their uncompromising performance requirements and complicated by the need for coordinating energy management across distinct core types – a new and less understood problem. We examine the intra-node CPU–GPU frequency sensitivity of HPC applications on tightly coupled CPU–GPU architectures as the first step in understanding power and performance optimization for a heterogeneous multi-node HPC system. The insights from this analysis form the basis of a coordinated energy management scheme, called DynaCo, for integrated CPU–GPU architectures. We implement DynaCo on a modern heterogeneous processor and compare its performance to a state-of-the-art power- and performance-management algorithm. DynaCo improves measured average energy-delay squared (ED2) product by up to 30% with less than 2% average performance loss across several exascale and other HPC workloads