Tensor Product of Polymatroids and Common Information
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915160146313216 |
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| author | Padró, Carles |
| author_facet | Padró, Carles |
| contents | A new connection between two different necessary conditions for a polymatroid to be linearly representable is presented. Specifically, we prove that the existence of a tensor product with the uniform matroid of rank two on three elements implies the existence of a common information extension for every pair of subsets of the ground set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06714 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor Product of Polymatroids and Common Information Padró, Carles Combinatorics 05B35 A new connection between two different necessary conditions for a polymatroid to be linearly representable is presented. Specifically, we prove that the existence of a tensor product with the uniform matroid of rank two on three elements implies the existence of a common information extension for every pair of subsets of the ground set. |
| title | Tensor Product of Polymatroids and Common Information |
| topic | Combinatorics 05B35 |
| url | https://arxiv.org/abs/2502.06714 |