A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture
Combinatorics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0605646,
title = {A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture},
author = {Blair Dowling Sullivan},
journal= {arXiv preprint arXiv:math/0605646},
year = {2007}
}
Comments
14 pages, 0 figures