A Solution to the 1-2-3 Conjecture
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910309045764096 |
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| author | Keusch, Ralph |
| author_facet | Keusch, Ralph |
| contents | We show that for every graph without isolated edge, the edges can be assigned weights from {1,2,3} so that no two neighbors receive the same sum of incident edge weights. This solves a conjecture of Karoński, Luczak, and Thomason from 2004. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02611 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Solution to the 1-2-3 Conjecture Keusch, Ralph Combinatorics 05C15, 05C22, 05C78 We show that for every graph without isolated edge, the edges can be assigned weights from {1,2,3} so that no two neighbors receive the same sum of incident edge weights. This solves a conjecture of Karoński, Luczak, and Thomason from 2004. |
| title | A Solution to the 1-2-3 Conjecture |
| topic | Combinatorics 05C15, 05C22, 05C78 |
| url | https://arxiv.org/abs/2303.02611 |