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The classification of countable homogeneous directed graphs and countable homogeneous $n$-tournaments

About this Title

Gregory L. Cherlin

Publication: Memoirs of the American Mathematical Society
Publication Year 1998: Volume 131, Number 621
ISBNs: 978-0-8218-0836-8 (print); 978-1-4704-0210-5 (online)
MathSciNet review: 1434988
MSC: Primary 03C15; Secondary 03C10, 03C50, 03C65, 05C20

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Table of Contents


  • 1. Results and open problems
  • 2. Homogeneous 2-tournaments
  • 3. Homogeneous $n$-tournaments
  • 4. Homogeneous symmetric graphs
  • 5. Homogeneous directed graphs omitting $I_\infty $
  • 6. Propositions 16 to 20 and MT 2.2
  • 7. Homogeneous directed graphs embedding $I_\infty $
  • 8. Theorems 7.6-7.9