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Contractible transformations do not change the homology groups of graphs

✍ Scribed by Alexander V. Ivashchenko

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 626 KB
Volume: 126
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90261-5

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✦ Synopsis

In this paper we continue to study properties of contractible transformations of graphs. We prove that contractible transformations do not change the homology groups of graphs.

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✍ Alexander V. Ivashchenko 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 817 KB

A molecular space is a family of closed unit cubes in Euclidean space E". Cube vertices have integer coordinates. Molecular spaces can be transformed from one to the other by four kinds of contractible transformations. In this paper we apply contractible transformations of molecular spaces to grap