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.
Some properties of contractible transformations on graphs
β Scribed by Alexander V. Ivashchenko
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 458 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
DISCRETE MATHEMATICS
Many applications of digital image processing now deal with three and more dimensional images. One way of tracing the digital images of n-dimensional continuous spaces is to use molecular spaces and its intersection graphs. Two graphs modeling the same space can be transformed into each other by contractible transformations.
It was shown that contractible transformations retained the Euler characteristic and the homology groups on graphs.
In this paper we continue studying properties of these transformations on graphs.
Elsevier Science B.V.
π SIMILAR VOLUMES
## Abstract Results in diverse areas, such as the NielsenβSchreier theorem on subgroups of free groups and a proof of A. T. White's conjecture on the genus of subgroups are shown to be immediate consequences of a lemma which has already proved useful in investigating topological properties and auto
## Abstract The __d__βdistance face chromatic number of a connected plane graph is the minimum number of colors in such a coloring of its faces that whenever two distinct faces are at the distance at most __d__, they receive distinct colors. We estimate 1βdistance chromatic number for connected 4βr