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https://github.com/maxkapur/collegeapplication

The optimal college application problem (MS thesis and slides)
https://github.com/maxkapur/collegeapplication

combinatorial-optimization research-paper

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The optimal college application problem (MS thesis and slides)

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# CollegeApplication

Working repo for my MS thesis, “The College Application Problem,” at Seoul National University. You can download the PDF (`thesis/paper-en.pdf` or `thesis/paper-ko.pdf`) in your preferred language, or clone the repo and run `make` to build from the LaTeX source.

If you found this research useful, please consider citing either [our arXiv paper](https://arxiv.org/abs/2205.01869) or this thesis:

- Kapur, Max. 2022. “The College Application Problem.” MS thesis, Seoul National University. .

I’d prefer that you use this GitHub repo as the URL (so that I can fix typos 🤣), but if your style guide requires an “official” link, you can use , which comes from the SNU thesis archive. The Korean text there matches the `v0.1.0` release tagged here.

## Table of contents

| Directory | Contents | Formats | English | Korean | Coauthors |
|-----------|----------|---------|---------|--------|-----------|
| `paper_alma/` | A concise paper on the cardinality-constrained college admissions problem (Alma’s problem), focusing on the greedy algorithm and student welfare analysis. | PDF, LaTeX | ✓ | | Yim Seho, Sung-Pil Hong |
| `paper_ellis/` | A concise paper on the knapsack-constrained college admissions problem (Ellis’s problem), focusing on its computational complexity and exact and approximate algorithms. | PDF, LaTeX | ✓ | ||
| `poster/` | A one-sheet summary of the research prepared for JuliaCon 2022, with an emphasis on the `OptimalApplication.jl` package. | PDF, ODT | ✓ | ||
| `slides_03min/` | Slides and script for the JuliaCon 2022 presentation. [Click here](https://maxkapur.com/CollegeApplication/) to view them in your browser. | HTML | ✓ | ||
| `slides_08min/` | Slides and script for a presentation at the department’s research fair. | PDF, LaTeX | ✓ | ✓ ||
| `slides_15min/` | Slides and script for a presentation at the spring 2022 conference of the Korean industrial engineering society (대한산업공학회). | PDF, LaTeX | ✓ | ✓ ||
| `slides_25min/` | Slides and script for my defense presentation. | PDF, LaTeX | ✓ | ✓ ||
| `thesis/` | My MS thesis. The contents are essentially the same as the arXiv paper, but updates appear here first. | PDF, LaTeX | ✓ | ✓ ||

For the associated Julia package, which implements the algorithms provided in paper, see https://github.com/maxkapur/OptimalApplication.

Comments and suggestions are welcome via email ([[email protected]](mailto:[email protected])) or GitHub pull request.