Difference Cordial Labeling of Graphs Obtained from Triangular Snakes

In this paper, we investigate the difference cordial labeling behavior of corona of triangular snake with the graphs of order one and order two and also corona of alternative triangular snake with the graphs of order one and order two

Pair difference cordial labeling of some union of graphs

Let G = (V, E) be a (p, q) graph. Define ρ = {p/2 if p is even p−1/2 if p is odd and L = {±1, ±2, ±3, · · · , ±ρ} called the set of labels. Consider a mapping f : V → L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) − f(v)| such that ∆f1 − ∆fc1 ≤ 1, where ∆f1 and ∆fc1respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate the pair difference cordial labeling behavior of the union of some graphs like path, cycle, star and bistar graph.Publisher's Versio

K-Total Product Cordial Labelling of Graphs

In this paper we introduce the k-Total Product cordial labelling of graphs. Also we investigate the 3-Total Product cordial labelling behaviour of some standard graphs

Quotient Cordial Labeling of Graphs

In this paper we introduce quotient cordial labeling of graphs, respectively denote the number of edges labelled with even integers and number of edges labelled with odd integers. A graph with a quotient cordial labeling is called a quotient cordial graph. We investigate the quotient cordial labeling behavior of path, cycle, complete graph, star, bistar etc

4-Prime cordiality of some cycle related graphs

Recently three prime cordial labeling behavior of path, cycle, complete graph, wheel, comb, subdivison of a star, bistar, double comb, corona of tree with a vertex, crown, olive tree and other standard graphs were studied. Also four prime cordial labeling behavior of complete graph, book, flower were studied. In this paper, we investigate the four prime cordial labeling behavior of corona of wheel, gear, double cone, helm, closed helm, butterfly graph, and friendship graph

Some Results on Pair Sum Labeling of Graphs

The graphs considered here will be finite, undirected and simple. The symbols V (G) and E(G) will denote the vertex set and edge set of a graph G. p and q denote respectively the number of vertices and edges of G

Effect of nano- and micron-sized K0.5Na0.5NbO3 fillers on the dielectric and piezoelectric properties of PVDF composites

Polymer nanocrystal composites were fabricated by embedding polyvinylidene fluoride (PVDF) with K0.5Na0.5NbO3 (KNN) nanocrystallites of different volume fraction using the hot-pressing technique. For comparison, PVDF-KNN microcrystal composites of the same compositions were also fabricated which facilitated the studies of the crystallite size (wide range) effect on the dielectric and piezoelectric properties. The structural, morphological, dielectric, and piezoelectric properties of these nano and micro crystal composites were investigated. The incorporation of KNN fillers in PVDF at both nanometer and micron scales above 10 vol% resulted in the formation of polar beta-form of PVDF. The room temperature dielectric constant as high as 3273 at 100 Hz was obtained for the PVDF comprising 40 vol% KNN nanocrystallites due to dipole-dipole interactions (as the presence of beta-PVDF is prominent), whereas it was only 236 for the PVDF containing the same amount (40 vol%) of micron-sized crystallites of KNN at the same frequency. Various theoretical models were employed to predict the dielectric constants of the PVDF-KNN nano and micro crystal composites. The PVDF comprising 70 vol% micron-sized crystallites of KNN exhibited a d (33) value of 35 pC/N, while the nanocrystal composites of PVDF-KNN did not exhibit any piezoelectric response perhaps due to the unrelieved internal stress within each grain, besides the fact that they have less domain walls

Feasibility of store-and-forward teledermatology in out-patient care: A prospective study from rural India utilising specialist referral services through an instant messaging platform - "WhatsApp"

Objectives: The COVID-19 pandemic has placed unprecedented demands on the delivery of health care in rural areas of India. We examined the feasibility of store-and-forward mobile teledermatology for outpatient access to specialist dermatologic care in underserved areas in India. Methods: We conducted a prospective study using smartphone-based teledermatology, connecting six underserved clinics manned by primary care physicians (PCP) to three dermatologists, using the instant messaging platform WhatsApp. We assessed the concordance between PCPs and dermatologists (using prevalence adjusted bias adjusted kappa), consultation time, the spectrum of conditions, and the outcome. Results: Of the 730 dermatology patients screened in the clinics, 95 (13%) (36 males and 59 females) required teleconsultation, among which 61.1% were non-infective, 34.7% were infective, and the diagnosis could not be ascertained in 4.2 %. The mean time taken for the first response was 13.5\ub118.4 minutes. Twenty per cent (n=19) required referral, and 80% (n=76) of consultations could be resolved at the clinic, of whom 36.8 % were cured, 38.2% had moderate, 4% had minimal improvement, 13% were lost to follow-up, and 8% refused treatment. Cure was observed in viral infections and eczema. The diagnostic concordance ranged from low values [0.38 (95% CI: 0-0.68)] in infective to moderate [0.66 (95% CI: 0.42 -0.83), p=0.033] in non-infective disorders. Conclusion: Asynchronous mobile teledermatology, using specialist referral via instant messaging platforms, is a powerful modality for providing real-time dermatologic care, while offering a very promising alternative for decreasing healthcare disparities and continuity of services even in adverse situations like the Covid-19 pandemic

Realisation of CdS/Mn3O4nanocomposites for potential Photocatalytic Applications

The present work reports the realisation of high-quality crystalline CdS/Mn3O4(CM) nanocomposites by a simple cost-effective chemical method in air atmosphere. The authors have performed theoretical calculations and experimental analysis in order to understand the synthesised nanocomposites. X-ray diffraction results showed that the CM nanocomposites were cubic and orthorhombic mixed structure which is in good agreement with the theoretical studies. Field emission scanning electron microscopy images of CM confirmed the formation of well distributed nanocomposites. The outcomes of DFT calculations provide results for the bandgap calculation of pure CdS, Mn3O4and the CM nanocomposites. Photoluminescence studies with interesting visible light absorption demonstrated the great potentiality of the as-synthesised nanocomposites towards photocatalytic applications that could be a detailed research scope for the authors' future studies. © 2020 Institution of Engineering and Technology. All rights reserved.Acknowledgments: The author P. Joice Sophia kindly acknowledges DST-INSPIRE Faculty Scheme (DST/INSPIRE/04/2016/ 000292) and SERB-EMR (EMR/2017/004764) for the financial support and funding. One of the authors, M. Rajesh Kumar thanks the contract no. 40/is2