To analyze an algorithm for a graph problem the traditional notion is to assume that a graph is static. However, for most real world applications graphs are constantly modified. These modifications can be in terms of ...

This thesis mainly focus on the perturbative calculations of hadronic cross sections in Quantum Chromodynamics (QCD). I study the infrared structure of the form factor and inclusive real emission cross section that ...

In this thesis, we do investigations related to surface operators in supersymmetric gauge theories in four dimensions. In the first part of the thesis, we study half-BPS surface operators in ${\mathcal N}=2$ SU(N) gauge ...

SU (3)-flavor symmetry is the symmetry of three light quarks namely the up, down and strange quarks. Although it is an approximate symmetry of the Standard Model, this symmetry is very useful to study weak decays of hadrons. ...

This thesis addresses two problems, which are independent of each other. In the first part, we study QI(Z n ), the quasi-isometry group of the finitely generated abelian group Z n for n ≥ 2. We show that certain groups ...