A counterexample on contractible transformations on graphs

Martín Eduardo Frías-Armenta

doi:10.1016/j.disc.2020.111915

A counterexample on contractible transformations on graphs

Martín Eduardo Frías-Armenta

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Ivashchenko proposed the study of contractible transformations on graphs because of their applications to computer image analysis, theory of molecular spaces, and digital topology. He published five papers on this subject. Contractible transformations have recently been applied to topological data analysis. This paper presents a counterexample to several results that appeared in one of Ivashchenko's works.

Original language	English
Article number	111915
Journal	Discrete Mathematics
Volume	343
Issue number	8
DOIs	https://doi.org/10.1016/j.disc.2020.111915
State	Published - Aug 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Contractible graph
Contractible transformations

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10.1016/j.disc.2020.111915

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abstract = "Ivashchenko proposed the study of contractible transformations on graphs because of their applications to computer image analysis, theory of molecular spaces, and digital topology. He published five papers on this subject. Contractible transformations have recently been applied to topological data analysis. This paper presents a counterexample to several results that appeared in one of Ivashchenko's works.",

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AB - Ivashchenko proposed the study of contractible transformations on graphs because of their applications to computer image analysis, theory of molecular spaces, and digital topology. He published five papers on this subject. Contractible transformations have recently been applied to topological data analysis. This paper presents a counterexample to several results that appeared in one of Ivashchenko's works.

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JO - Discrete Mathematics

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A counterexample on contractible transformations on graphs

Abstract

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Keywords

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