English

About a counterexample on contractible transformations of graphs

Combinatorics 2019-04-24 v1

Abstract

In [A. V. Ivashchenko, Contractible transformations do not change the homology groups of graphs, Discrete Mathematics 126 (1) (1994) p 159,170], Ivashchenko started with the study of contractible graphs, he began with this because they have application to molecular spaces. But in a second paper [A. V. Ivashchenko, Some properties of contractible transformations on graphs, Discrete Mathematics 133 (1) (1994) p 139,145], he made several mistakes. We show in this paper that the results in that second paper are false or the proofs are wrong.

Keywords

Cite

@article{arxiv.1904.10019,
  title  = {About a counterexample on contractible transformations of graphs},
  author = {Martín-Eduardo Frías Armenta},
  journal= {arXiv preprint arXiv:1904.10019},
  year   = {2019}
}
R2 v1 2026-06-23T08:46:39.908Z