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##### Contents
- 1 Introduction
- 1.1 Origins and Acknowledgements
- 1.2 Motivation and Applications
- 1.3 Broad Outline of the Report
- 1.4 Contents of the Report
- 2 Theory
- 2.1 M-Matrices
- 2.2 Graph Laplacian
- 2.3 Graph Partitioning
- 2.4 Spectral Par... | [
"Partitioning a graph into three pieces, with two of them large and connected,\nand the third a small ``separator'' set, is useful for improving the\nperformance of a number of combinatorial algorithms. This is done using the\nsecond eigenvector of a matrix defined solely in terms of the incidence matrix,\ncalled t... | |
"##### Acknowledgements. I am indebted to my thesis supervisors, Dr.\nBhabani Prasad Mandal, for int(...TRUNCATED) | ["The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role\nin the quantization (...TRUNCATED) | |
"##### Acknowledgements. First and foremost, I would like to thank Dr.\nJohn Wainwright for his pati(...TRUNCATED) | ["In this thesis we first apply the 1+3 covariant description of general\nrelativity to analyze n-fl(...TRUNCATED) | |
"##### Contents\n\n- \\thechapter Fields of moduli\n - 1 Fields of definition\n - 2 T(...TRUNCATED) | ["We determine conditions that guarantee that a hyperelliptic or plane curve\nover a field of charac(...TRUNCATED) | |
"# 1 Introduction\n\nSupersymmetric sigma models in two dimensions have played central roles\nin a n(...TRUNCATED) | ["We explore two-dimensional sigma models with (0,2) supersymmetry through\ntheir chiral algebras. P(...TRUNCATED) | |
"## Part I Introduction\n\n### Chapter 1 Overview\n\n#### 1.1 Organization of the thesis\n\nPart I i(...TRUNCATED) | ["This thesis presents the results of the experimental study performed on spin\nqubits realized in g(...TRUNCATED) | |
"###### Contents\n\n- 1 Introduction\n - 1.1 Current state of the art\n - 1.2 What is(...TRUNCATED) | ["Due to shorter range communication becoming more prevalent with the\ndevelopment of multiple-input(...TRUNCATED) | |
"###### Contents\n\n- 1 Introduction\n - 1.1 Background\n - 1.2 Outline of Thesis\n (...TRUNCATED) | ["This M.Sc. thesis describes a search for exotic leptons. The search has been\nperformed using data(...TRUNCATED) | |
"# Chapter 1 Introduction\n\nThe cement for the subjects this manuscript deals with is the Monte\nCa(...TRUNCATED) | ["Discrepancies play an important role in the study of uniformity properties of\npoint sets. Their p(...TRUNCATED) | |
"###### Contents\n\n- Abstract\n- 1 Very High Energy Gamma Ray Astronomy\n- 2 Pulsars\n- (...TRUNCATED) | ["My thesis deals with a fundamental question of high energy gamma-ray\nastronomy. Namely, I studied(...TRUNCATED) |
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