English

A Note on Minimal Senders

Combinatorics 2018-07-04 v2

Abstract

In this paper we prove that if a pair of graphs G,H have senders, then they necessarily have connected minimal senders; we also prove that given two fixed graphs that are either 3-connected or triangles there are minimal (G,H)-senders with arbitrarily distant signal edges and (G,H)-minimal graphs with arbitrarily large cycles, thus showing there is no upper bound for the diameters of (G,H)-minimal graphs.

Keywords

Cite

@article{arxiv.1806.08879,
  title  = {A Note on Minimal Senders},
  author = {Nerio Borges},
  journal= {arXiv preprint arXiv:1806.08879},
  year   = {2018}
}
R2 v1 2026-06-23T02:39:05.582Z