Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2502.06372 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917917510074368 |
|---|---|
| author | Li, Wenbo Thomas, Joe |
| author_facet | Li, Wenbo Thomas, Joe |
| contents | In this note, we prove a conjecture of Puder on an extension of the co-growth formula to any non-negative function defined on a bi-regular tree. A key component of our proof is the establishment of a resolvent identity, which serves as an operator version of the co-growth formula. We also provide a simpler proof of Puder's generalised co-growth formula for the regular tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on Puder's generalised co-growth formula for trees Li, Wenbo Thomas, Joe Combinatorics 05C05 In this note, we prove a conjecture of Puder on an extension of the co-growth formula to any non-negative function defined on a bi-regular tree. A key component of our proof is the establishment of a resolvent identity, which serves as an operator version of the co-growth formula. We also provide a simpler proof of Puder's generalised co-growth formula for the regular tree. |
| title | A note on Puder's generalised co-growth formula for trees |
| topic | Combinatorics 05C05 |
| url | https://arxiv.org/abs/2502.06372 |