A verified implementation of the Misra and Gries edge coloring algorithm
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914203213758464 |
|---|---|
| author | Bhoja, Arohee |
| author_facet | Bhoja, Arohee |
| contents | Vizing's theorem states that every simple undirected graph can be edge-colored using fewer than $Δ+ 1$ colors, where $Δ$ is the graph's maximum degree. The original proof was given through a polynomial-time algorithmic procedure that iteratively extends a partial coloring until it becomes complete. In this work, I used the Lean theorem prover to produce a verified implementation of the Misra and Gries edge-coloring algorithm, a modified version of Vizing's original method. The focus is on building libraries for relevant mathematical objects and rigorously maintaining required invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13999 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A verified implementation of the Misra and Gries edge coloring algorithm Bhoja, Arohee Discrete Mathematics Combinatorics Vizing's theorem states that every simple undirected graph can be edge-colored using fewer than $Δ+ 1$ colors, where $Δ$ is the graph's maximum degree. The original proof was given through a polynomial-time algorithmic procedure that iteratively extends a partial coloring until it becomes complete. In this work, I used the Lean theorem prover to produce a verified implementation of the Misra and Gries edge-coloring algorithm, a modified version of Vizing's original method. The focus is on building libraries for relevant mathematical objects and rigorously maintaining required invariants. |
| title | A verified implementation of the Misra and Gries edge coloring algorithm |
| topic | Discrete Mathematics Combinatorics |
| url | https://arxiv.org/abs/2512.13999 |