English

The Line Graph of the Universal Homogeneous Triangle-free Graph

Logic 2021-08-27 v4

Abstract

We present some results on the structure of line graphs of triangle-free graphs and a homogenization of the line graph of the universal homogeneous triangle-free graph in a finite relational language with arity 4. This result is relevant to the study of the relational complexity of structures defined by forbidden embeddings.

Keywords

Cite

@article{arxiv.1604.01374,
  title  = {The Line Graph of the Universal Homogeneous Triangle-free Graph},
  author = {Andres Aranda},
  journal= {arXiv preprint arXiv:1604.01374},
  year   = {2021}
}

Comments

The main theorem is false