English

On triangular biregular degree sequences

Combinatorics 2023-04-03 v1

Abstract

A simple graph is called triangular if every edge of it belongs to a triangle. We conjecture that any graphical degree sequence all terms of which are greater than or equal to 4 has a triangular realisation, and establish this conjecture for a class of biregular graphical degree sequences.

Keywords

Cite

@article{arxiv.2303.17804,
  title  = {On triangular biregular degree sequences},
  author = {Benjamin Egan and Yuri Nikolayevsky},
  journal= {arXiv preprint arXiv:2303.17804},
  year   = {2023}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-28T09:42:27.299Z