English

Hamiltonicity and structure of connected biclaw-free graphs

Combinatorics 2025-07-09 v1

Abstract

We show that for sufficiently large dd, every balanced bipartite, connected biclaw-free graph with minimum degree d\geq d is Hamiltonian. This confirms a conjecture of Flandrin, Fouquet, and Li.

Keywords

Cite

@article{arxiv.2507.05836,
  title  = {Hamiltonicity and structure of connected biclaw-free graphs},
  author = {Alexey Pokrovskiy and Xiaoan Yang},
  journal= {arXiv preprint arXiv:2507.05836},
  year   = {2025}
}