Modulus of edge covers and stars
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910348106268672 |
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| author | Ortiz-Aquino, Adriana Albin, Nathan |
| author_facet | Ortiz-Aquino, Adriana Albin, Nathan |
| contents | This paper explores the modulus (discrete $p$-modulus) of the family of edge covers on a discrete graph. This modulus is closely related to that of the larger family of fractional edge covers; the modulus of the latter family is guaranteed to approximate the modulus of the former within a multiplicative factor. The bounds on edge cover modulus can be computed efficiently using a duality result that relates the fractional edge covers to the family of stars. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13180 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Modulus of edge covers and stars Ortiz-Aquino, Adriana Albin, Nathan Combinatorics This paper explores the modulus (discrete $p$-modulus) of the family of edge covers on a discrete graph. This modulus is closely related to that of the larger family of fractional edge covers; the modulus of the latter family is guaranteed to approximate the modulus of the former within a multiplicative factor. The bounds on edge cover modulus can be computed efficiently using a duality result that relates the fractional edge covers to the family of stars. |
| title | Modulus of edge covers and stars |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2309.13180 |