Article
Strong Euler well-composedness
Author/s | Boutry, Nicolas
González Díaz, Rocío Jiménez Rodríguez, María José Paluzo Hidalgo, Eduardo |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2021 |
Deposit Date | 2022-03-21 |
Published in |
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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 ... 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 nD pictures, we formally prove in this paper that strong Euler well-composedness implies digital well-composedness in any dimension n ≥ 2 and that the converse is not true when n ≥ 4 |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España Junta de Andalucía |
Project ID. | PID2019-107339GB-I00
P20_01145 |
Citation | Boutry, N., González Díaz, R., Jiménez Rodríguez, M.J. y Paluzo Hidalgo, E. (2021). Strong Euler well-composedness. Journal of Combinatorial Optimization, 2021 |
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