Open problem 70
I would like background information concerning open problem 70. I cannot find the reference S. Thomassé 2005, nor can I find any mention of the conjecture in Sullivan 2006. Thanks.
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- 10.05 ex 1.5.12 (a) (first edition), ex 1.5.11 (a) (second printing)
- 09.27 Open problem 70
- 09.17 Ex 10.3.6 (c)
- 09.17 page 317 (first edition), page 321 (second printing)
- 09.11 Exercise 1.4.6a
- 09.02 Hint to ex 4.2.5 (b)
- 09.02 Hint to ex 4.1.15
- 08.18 Proof of Theorem 10.26 (clarification).
- 08.18 Proof of Lemma 10.33
- 08.18 Exercise 14.2.9
Unsolved problem 70 is a special case of Thomassé’s conjecture, which is stated as Conjecture 6.34. in the article by Blair Sullivan entitled “A summary of results and problems related to the Caccetta-Haggkvist Conjecture”. The conjecture was mentioned at a workshop on the Caccetta-Haggkvist Conjecture held at the American Institute of Mathematics in early 2006. As Sullivan notes, it implies the Caccetta-Haggkvist Conjecture. For further information, you might contact Stephan Thomassé in Montpellier.