Symmetries and symmetry-breaking in arithmetic graphs.

In this paper, we study symmetries and symmetry-breaking of the arithmetic graph of a composite number , denoted by . We first study some properties such as the distance between vertices, the degree of a vertex and the number of twin classes in the arithmetic graphs. We describe symmetries of and prove that the automorphism group of is isomorphic to the symmetric group of elements, for .

Brain Tumor Identification by Hybrid CNN-SWT Model.

Objective: Detecting brain tumor using the segmentation technique is a big challenge for researchers and takes a long time in medical image processing. Magnetic resonance image analysis techniques facilitate the accurate detection of tissues and abnormal tumors in the brain. The size of a brain tumor can vary with the individual and the specifics of the tumor.

Brain Tumor Detection and Classification on MR Images by a Deep Wavelet Auto-Encoder Model.

The process of diagnosing brain tumors is very complicated for many reasons, including the brain's synaptic structure, size, and shape. Machine learning techniques are employed to help doctors to detect brain tumor and support their decisions. In recent years, deep learning techniques have made a great achievement in medical image analysis.

Differential Deep Convolutional Neural Network Model for Brain Tumor Classification.

The classification of brain tumors is a difficult task in the field of medical image analysis. Improving algorithms and machine learning technology helps radiologists to easily diagnose the tumor without surgical intervention. In recent years, deep learning techniques have made excellent progress in the field of medical image processing and analysis.

Bounds on the domination number and the metric dimension of co-normal product of graphs.

In this paper, we establish bounds on the domination number and the metric dimension of the co-normal product graph of two simple graphs and in terms of parameters associated with and . We also give conditions on the graphs and for which the domination number of is 1, 2, and the domination number of . Moreover, we give formulas for the metric dimension of the co-normal product of some families of graphs and as a function of associated parameters of and .