This thesis analyzes the construction of the sphere fibrations over (n − 1)-connected 2n-manifolds for an even integer n such that the total space is a connected sum of sphere products, in a localized category of spaces. ...

The thesis focuses on the cryptanalysis of private-key ciphers, which are widely used encryption methods due to their fast encryption/decryption computing ability and low memory requirements. The thesis covers two different ...

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Graph coloring is one among the oldest and broadly studied topics in graph theory. A coloring of a graph G is an assignment of colors to the vertices of G such that no two adjacent vertices receive the same color, and ...

The application of Mathematical Morphology (MM) techniques has proven to be beneficial in the extraction of shapebased and texture-based features during remote sensing image analysis. The characteristics of these ...

Let X be a smooth projective curve over an algebraically closed field k of char- acteristic p > 0, S be a finite subset of closed points in X. Given an embedding problem (β : Γ ↠ G, α : π´et 1 (X \S) ↠ G) for the ´etale ...

A complex network is a useful model for many real-world systems. Recently, much effort has been put into studying the insights of the complex network. This thesis is all about the study of complex networks. Based on the ...

In number theory, a problem which arises in a variety of contexts is getting non- trivial cancellation for the general correlation problem, specially when we assume that they are short sums related to Hecke-cusp forms. ...

Throughout this talk k will denote a field. The talk is primarily divided into two parts. In the first part we will discuss one of the formidable open problems in the area of Affine Algebraic Geometry, called the Epimorphism ...

Abstract