English

Signless Laplacian index conditions for doubly chorded cycles in graphs with given order

Combinatorics 2025-07-10 v2

Abstract

In this paper, we show that for a graph of order nn, where n5n\ge 5, if the signless Laplacian index is larger than or equal to certain value depending on nn, then the graph contains a doubly chorded cycle, where the chords incident to a common vertex, unless it is two specified graphs.

Keywords

Cite

@article{arxiv.2507.05570,
  title  = {Signless Laplacian index conditions for doubly chorded cycles in graphs with given order},
  author = {Jin Cai and Bo Zhou},
  journal= {arXiv preprint arXiv:2507.05570},
  year   = {2025}
}

Comments

It contains incomplete parts and uncompleted parts