English

Minimising the number of triangular edges

Combinatorics 2016-05-03 v1

Abstract

We consider the problem of minimising the number of edges that are contained in triangles, among nn-vertex graphs with a given number of edges. We prove a conjecture of F\"uredi and Maleki that gives an exact formula for this minimum, for sufficiently large nn.

Keywords

Cite

@article{arxiv.1605.00528,
  title  = {Minimising the number of triangular edges},
  author = {Vytautas Gruslys and Shoham Letzter},
  journal= {arXiv preprint arXiv:1605.00528},
  year   = {2016}
}

Comments

43 pages, 8 figures

R2 v1 2026-06-22T13:46:44.490Z