Difference between revisions of "Publications/boutry.21.joco"
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abstract = <nowiki>{</nowiki>In this paper, we define a new flavour of |
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well-composedness, called strong Euler well-composedness. |
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Revision as of 08:05, 6 January 2022
- Authors
- Nicolas Boutry, Rocio Gonzalez-Diaz, Maria-Jose Jimenez, Eduardo Paluzo-Hildago
- Journal
- Journal of Combinatorial Optimization
- Type
- article
- Projects
- Olena
- Keywords
- Image
- Date
- 2021-11-23
Abstract
In this paper, we define a new flavour of well-composednesscalled strong Euler well-composedness. In the general setting of regular cell complexes, a regular cell complex of dimension is strongly Euler well-composed if the Euler characteristic of the link of each boundary cell is , which is the Euler characteristic of an -dimensional ball. Working in the particular setting of cubical complexes canonically associated with -D pictures, we formally prove in this paper that strong Euler well-composedness implies digital well-composedness in any dimension and that the converse is not true when .
Documents
Bibtex (lrde.bib)
@Article{ boutry.21.joco, author = {Nicolas Boutry and Rocio Gonzalez-Diaz and Maria-Jose Jimenez and Eduardo Paluzo-Hildago}, title = {Strong {E}uler Wellcomposedness}, journal = {Journal of Combinatorial Optimization}, volume = {}, pages = {}, month = nov, year = {2021}, abstract = {In this paper, we define a new flavour of well-composedness, called strong Euler well-composedness. In the general setting of regular cell complexes, a regular cell complex of dimension $n$ is strongly Euler well-composed if the Euler characteristic of the link of each boundary cell is $1$, which is the Euler characteristic of an $(n-1)$-dimensional ball. Working in the particular setting of cubical complexes canonically associated with $n$-D pictures, we formally prove in this paper that strong Euler well-composedness implies digital well-composedness in any dimension $n\geq 2$ and that the converse is not true when $n\geq 4$.}, doi = {10.1007/s10878-021-00837-8} }