English

On Universal Cycles of Labeled Graphs

Combinatorics 2009-11-02 v2

Abstract

A universal cycle is a compact listing of a class of combinatorial objects. In this paper, we prove the existence of universal cycles of classes of labeled graphs, including simple graphs, trees, graphs with m edges, graphs with loops, graphs with multiple edges (with up to m duplications of each edge), directed graphs, hypergraphs, and k-uniform hypergraphs.

Keywords

Cite

@article{arxiv.0808.3610,
  title  = {On Universal Cycles of Labeled Graphs},
  author = {Greg Brockman and Bill Kay and Emma E. Snively},
  journal= {arXiv preprint arXiv:0808.3610},
  year   = {2009}
}

Comments

9 pages, 8 figures

R2 v1 2026-06-21T11:14:05.339Z