F-Sets in graphs

AbstractA subset S of the vertex set of a graph G is called an F-set if every α ϵ Γ(G), the automorphism group of G, is completely specified by specifying the images under α of all the points of S, and S has a minimum number of points. The number of points, k(G), in an F-set is an invariant of G, whose properties are studied in this paper. For a finite group Γ we define k(Γ) = max{k(G) | Γ(G) = Γ}. Graphs with a given Abelian group and given k-value (k ≤ k(Γ)) have been constructed. Graphs with a given group and k-value 1 are constructed which give simple proofs to the theorems of Frucht and Bouwer on the existence of graphs with given abstract/permutation groups

Whale Optimization Algorithm with Fuzzy Wavelet Neural Network for Pneumonia Detection and Classification

Pneumonia detection and classification are a vital medical imaging task that purposes to automatically recognize and classify pneumonia-related abnormalities in chest radiographs or Chest X-Ray (CXR) imaging. Accurate and prior identification of pneumonia is important for suitable treatment and recovering patient results. The main drive is to recognize whether an X-ray image indicates the presence of pneumonia or not. A binary classification techniuqe is trained to distinguish normal and pneumonia X-rays. Deep Learning (DL) approaches are revealed major success in automating this process, assisting healthcare specialists in analyzing pneumonia more effectively. This article presents a Whale Optimization Algorithm with Fuzzy Wavelet Neural Network for Pneumonia Detection and Classification (WOAFWNN-PDC) technique on CXRs. The purpose of the WOAFWNN-PDC technique is to apply optimal DL approaches for the recognition and classification of pneumonia. In the presented WOAFWNN-PDC technique, Gaussian Filtering (GF) approach is used for the noise removal process. In addition, the MobileNetv3 model is utilized for the feature extraction method. Moreover, the FWNN technique was applied to the classification of pneumonia. Finally, the WOA can be executed for an optimum selection of the parameters related to the FWNN approach. The simulation value of the WOAFWNN-PDC algorithm was assessed on a benchmark medical database. The comparative analysis exhibits better results than the WOAFWNN-PDC technique

Analysis of coconut cultivars and hybrids using isozyme polymorphism

The coconut (Cocos nucifera L.) is one of the major oilseeds of India. In the present study, an attempt has been made to analyse coconut diversity using isozyme banding data. Cluster analysis was performed using the banding patterns obtained from polyacrylamide gel electrophoresis for 11 isozyme systems in 40 different coconut cultivars and six hybrids and their parents. The cultivars grouped mainly into six clusters. In case of hybrids and their parents, the hybrids clustered intermediate between parents

Coherent States, Dynamics and Semiclassical Limit on Quantum Groups

Coherent states on the quantum group $SU_q(2)$ are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit $q\rightarrow 1$ is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit is emphasized. An approach to $q$-deformation as a $q$-Weyl quantization and a relavence of contact geometry in this context is pointed out. Dynamics on the quantum group parametrized by a real time variable and corresponding to classical rotations is considered.Comment: 20 pages in latex, SFU-HEP-108-9

Effect of paclobutrazol and sucrose on in vitro cormel formation in gladiolus

Studies with excised shoots of six gladiolus cultivars viz., Bellariana, Blue Moon, Cream White, Friendship, Her Majesty and Top Brass indicated that paclobutrazol enhanced early cormel initiation and development. The interaction between paclobutrazol and sucrose was significant for cormel size. Supplementation of 10 mg L–1 paclobutrazol and 120 g L–1 sucrose to Murashige and Skoog’s medium favored formation of bigger cormels. Among the cultivars response to exogenous sucrose supplementation varied significantly and absence of paclobutrazol produced longer leaves, roots and smaller cormels

Preliminary studies on the baking of chapatties

Assuming that the degree of baking is determined by percentage loss of moisture content, and that conduction of heat is the predominant factor in the baking of the 'Chapatties', an equation has been derived on the basis of a few simplifying assumptions, expressing the percentage moisture loss as a function of baking time and thickness of chapatties. The limitations of the equation have been discussed in the light of some preliminary observations taken under laboratory conditions, and the equation has been modified accordingly, in order to represent the experimental data with reasonable accurac

Induction of apoptosis in human breast cancer cell line MCF-7 by phytochemicals from Gmelina asiatica

Currently, breast cancer is the leading cause of cancer-related death in women. Therefore, there is an urgent need to develop alternative therapeutic measures against this deadly disease. Many componentsfrom dietary or medicinal plants have been identified that possess substantial chemopreventive properties. India has unique plant varieties yet to be studied for anticancer components. Therefore, cytotoxicity activity and the mechanism of cell death exhibited by the extracts prepared from Gmelina asiatica, in human breast cancer MCF-7cells was investigated. The MCF-7 cells were seeded in 96-well culture plates in the presence and absence of different concentrations of extracts of G. asiatica to determinetheir anticancer effects using the 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTT) assay. Mechanism of cell death was evaluated by chromatin condensation using Hoest staining and morphological changes with the use of a contrast microscope. Plant extracts of G. asiatica were observed to induce apoptosis of MCF-7 cells as evidenced by MTT-cell proliferation assay, cell-morphological changes and chromatin condensation. The cytotoxicity of the chloroform extract was greater than other extracts of G. asiatica. The results of the present investigation is the first report on the potential anticancer activity of G. asiatica extracts and its possible mechanism of action on cancer cell proliferation in breast cancer MCF-7 cell lines