• Corpus ID: 119591566

A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture

@article{Sullivan2006ASO,
  title={A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture},
  author={Blair D. Sullivan},
  journal={arXiv: Combinatorics},
  year={2006}
}

• Blair D. Sullivan
• Published 24 May 2006
• Mathematics
• arXiv: Combinatorics

This paper is an attempt to survey the current state of our knowledge on the Caccetta-Haggkvist conjecture and related questions. In January 2006 there was a workshop hosted by the American Institute of Mathematics in Palo Alto, on the Caccetta-Haggkvist conjecture, and this paper partly originated there, as a summary of the open problems and partial results presented at the workshop. This summary includes results and open problems related to Caccetta-Haggkvist, Seymour's Second Neighborhood Conjecture, the k/2 Conjecture (for nonedges), and connections with algebraic number theory through Cayley graphs, along with a number of other related topics.