English

Stack and Queue Numbers of Graphs Revisited

Combinatorics 2024-11-19 v3 Discrete Mathematics

Abstract

A long-standing question of the mutual relation between the stack and queue numbers of a graph, explicitly emphasized by Dujmovi\'c and Wood in 2005, was "half-answered" by Dujmovi\'c, Eppstein, Hickingbotham, Morin and Wood in 2022; they proved the existence of a graph family with the queue number at most 4 but unbounded stack number. We give an alternative very short, and still elementary, proof of the same fact.

Keywords

Cite

@article{arxiv.2303.10116,
  title  = {Stack and Queue Numbers of Graphs Revisited},
  author = {Petr Hliněný and Adam Straka},
  journal= {arXiv preprint arXiv:2303.10116},
  year   = {2024}
}
R2 v1 2026-06-28T09:21:52.314Z