English

Rainbow C_4's and Directed C_4's: the Bipartite Case Study

Combinatorics 2016-06-14 v4

Abstract

In this paper we obtain a new sufficient condition for the existence of directed cycles of length 4 in oriented bipartite graphs. As a corollary, a conjecture of H. Li is confirmed. As an application, a sufficient condition for the existence of rainbow cycles of length 4 in bipartite edge-colored graphs is obtained.

Keywords

Cite

@article{arxiv.1301.5697,
  title  = {Rainbow C_4's and Directed C_4's: the Bipartite Case Study},
  author = {Bo Ning and Jun Ge},
  journal= {arXiv preprint arXiv:1301.5697},
  year   = {2016}
}

Comments

9 pages, accepted by Bull. Malays. Math. Sci. Soc

R2 v1 2026-06-21T23:14:33.116Z