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 ...

This thesis consists of two essays on allocation theory and one on voting theory. The first chapter analyses preference domains (called priority domains) where every strategy proof, non-bossy and neutral allocation rule ...