StochasticTopologyRCC

Thesis work

The sripts which made possible the rigid expansions simulations are under the folder Python. It contains the following files:

Python
│
├── Figures
│   └── rigid_expansion_gif
│   │   └── index.js
│   └──Figures-used-in-latex-files.png
│   
└── __aux_graphic.py
└── __aux.py
└── __bundles.py
└── __rigid_expansion.py
└── _expansion_visualization.py
└── _random_graphs.py
└── _rigid_expansion_markov_chain.py
└── _rigidity_experiments.py
└── _thresholds_erdos_renyi.py
└── main.py

Auxiliar files

__aux_graphic.py - Methods to generate graphical visualization of rigid expansions.

__aux.py - Auxiliar functions.

__bundles.py - Bundles of probability aproximations.

__rigid_expansion.py - Computational experimentation to generate rigid expansions of a subgraph.

Indepent files

_expansion_visualization.py - Generates visualization of a rigid expansion

_random_graphs.py - Random graphs generator

_rigid_expansion_markov_chain.py - Computational experimentation to describe rigid expansions as a stochastic process.

_rigidity_experiments.py - Computational experiments related to rigid expansions.

_thresholds_erdos_renyi.py - Proability thresholds for Erdös-Renyi model.

Main files

main.py - Exceute all the functions according thesis workflow

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GenerateAlgorithm

Appendix

Implementation for this can be found in External repository