English

On the number of edge-disjoint triangles in $K_4$-free graphs

Combinatorics 2015-06-11 v1

Abstract

We show the quarter of a century old conjecture that every K4K_4-free graph with nn vertices and n2/4+k\lfloor n^2/4 \rfloor +k edges contains kk pairwise edge disjoint triangles.

Keywords

Cite

@article{arxiv.1506.03306,
  title  = {On the number of edge-disjoint triangles in $K_4$-free graphs},
  author = {Ervin Győri and Balázs Keszegh},
  journal= {arXiv preprint arXiv:1506.03306},
  year   = {2015}
}