On induced cycles of Levi graphs associated to line arrangements

Rupam Karmakar; Rajib Sarkar

On induced cycles of Levi graphs associated to line arrangements

Combinatorics 2024-11-28 v1 Algebraic Geometry

Authors: Rupam Karmakar , Rajib Sarkar

Abstract

In this article, we investigate the existence of induced cycles in Levi graphs associated to line arrangements in $\mathbb{P}_{\mathbb{C}}^2$ . We also look at the problem of finding the length of a longest induced cycle in Levi graphs associated to line arrangements.

Keywords

Levi graph line arrangement induced cycle longest cycle projective plane

Cite

@article{arxiv.2411.18488,
  title  = {On induced cycles of Levi graphs associated to line arrangements},
  author = {Rupam Karmakar and Rajib Sarkar},
  journal= {arXiv preprint arXiv:2411.18488},
  year   = {2024}
}