English

Note on Terminal-Pairability in Complete Grid Graphs

Combinatorics 2017-02-16 v1

Abstract

We affirmatively answer and generalize the question of Kubicka, Kubicki and Lehel concerning the path-pairability of high-dimensional complete grid graphs. As an intriguing by-product of our result we significantly improve the estimate of the necessary maximum degree in path-pairable graphs, a question originally raised and studied by Faudree, Gy\'arf\'as, and Lehel.

Keywords

Cite

@article{arxiv.1606.06826,
  title  = {Note on Terminal-Pairability in Complete Grid Graphs},
  author = {Ervin Györi and Tamás Róbert Mezei and Gábor Mészáros},
  journal= {arXiv preprint arXiv:1606.06826},
  year   = {2017}
}

Comments

5 pages

R2 v1 2026-06-22T14:31:14.333Z