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On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

Dépassement d'entier

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Using Structural Properties for Integer Programs

Monochromatic cycle covers in random graphs

Network Flow Integer Programming to Track Elliptical Cells in Time-Lapse Sequences

On some algebraic and extremal problems in discrete geometry

Decomposition of a Cube into Nearly Equal Smaller Cubes

Solving quantified linear arithmetic by counterexample-guided instantiation

Flood frequency matters: Why climate change degrades deep-water quality of peri-alpine lakes

Reconstructing Curvilinear Networks using Path Classifiers and Integer Programming

Globally Optimal Cell Tracking using Integer Programming

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Solving quantified linear arithmetic by counterexample-guided instantiation

On some algebraic and extremal problems in discrete geometry

Network Flow Integer Programming to Track Elliptical Cells in Time-Lapse Sequences

Reconstructing Curvilinear Networks using Path Classifiers and Integer Programming

Globally Optimal Cell Tracking using Integer Programming

Decomposition of a Cube into Nearly Equal Smaller Cubes

Flood frequency matters: Why climate change degrades deep-water quality of peri-alpine lakes

Using Structural Properties for Integer Programs

Monochromatic cycle covers in random graphs

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction