{"id":26864182,"url":"https://github.com/sandergi/conformal-rigidity","last_synced_at":"2025-03-31T03:38:08.863Z","repository":{"id":284303086,"uuid":"954489578","full_name":"SanderGi/conformal-rigidity","owner":"SanderGi","description":"Exploring the relationship between conformal rigidity, spectral properties, and genus of graphs.","archived":false,"fork":false,"pushed_at":"2025-03-25T07:01:18.000Z","size":4999,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-03-25T08:19:51.699Z","etag":null,"topics":["combinatorics","graphs","spectral-theory"],"latest_commit_sha":null,"homepage":"","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/SanderGi.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2025-03-25T06:53:52.000Z","updated_at":"2025-03-25T07:08:19.000Z","dependencies_parsed_at":"2025-03-25T08:30:10.196Z","dependency_job_id":null,"html_url":"https://github.com/SanderGi/conformal-rigidity","commit_stats":null,"previous_names":["sandergi/conformal-rigidity"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SanderGi%2Fconformal-rigidity","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SanderGi%2Fconformal-rigidity/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SanderGi%2Fconformal-rigidity/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/SanderGi%2Fconformal-rigidity/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/SanderGi","download_url":"https://codeload.github.com/SanderGi/conformal-rigidity/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":246413322,"owners_count":20773053,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["combinatorics","graphs","spectral-theory"],"created_at":"2025-03-31T03:38:08.310Z","updated_at":"2025-03-31T03:38:08.817Z","avatar_url":"https://github.com/SanderGi.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Conformal Rigidity and Topological Obstructions: A Spectral Perspective on Graph Genus\n\nExploring the relationship between conformal rigidity, spectral properties, and genus of graphs.\n\n## Setup\n\nChoose one of Pyenv or Conda to manage your Python environment.\n\n### With Pyenv\n\n1. Install Python 3.10.12\n    - [Install pyenv](https://github.com/pyenv/pyenv?tab=readme-ov-file#installation)\n    - Run `pyenv install 3.10.12`\n    - Pyenv should automatically use this version in this directory. If not, run `pyenv local 3.10.12`\n2. Create a virtual environment\n    - Run `python -m venv ./venv` to create it\n    - Run `. venv/bin/activate` when you want to activate it\n        - Run `deactivate` when you want to deactivate it\n    - Pro-tip: select the virtual environment in your IDE, e.g. in VSCode, click the Python version in the bottom left corner and select the virtual environment\n3. Install dependencies with `pip install -r requirements.txt` \n\n### With Conda\n\n1. Install miniconda or anaconda\n    - [Install miniconda](https://docs.conda.io/en/latest/miniconda.html)\n    - Or [install anaconda](https://docs.anaconda.com/anaconda/install/)\n2. Create a virtual environment\n    - Run `conda create --prefix ./venv python=3.10.12` to create it\n    - Run `conda activate ./venv` when you want to activate it\n        - Run `conda deactivate` when you want to deactivate it\n    - Pro-tip: select the virtual environment in your IDE, e.g. in VSCode, click the Python version in the bottom left corner and select the virtual environment\n3. Install dependencies with `pip install -r requirements.txt` \n\n## Usage\n\nOpen any of the `.ipynb` notebooks in VS Code or Jupyter Notebook to run the code.\n\n- `conformal_rigidity.ipynb` contains the code for checking whether a graph is conformally rigid.\n- `spectral_bound.ipynb` contains delta_g plots\n\n## References\n\n- [Conformally Rigid Graphs](https://arxiv.org/abs/2402.11758) by Steinerberger and Thomas\n- [Conformal upper bounds for the eigenvalues of the Laplacian and Steklov problem](https://www.sciencedirect.com/science/article/pii/S0022123611002928) by Asma Hassannezhad\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fsandergi%2Fconformal-rigidity","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fsandergi%2Fconformal-rigidity","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fsandergi%2Fconformal-rigidity/lists"}