Béla Bollobás, Extremal Graph Theory (Academic Press, 1978), 488 pp., £19·50.

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A collection of unlabelled tournaments P is called a hereditary property if it is closed under isomorphism and under taking induced sub-tournaments. The speed of P is the function n 7→ |Pn|, where Pn = {T ∈ P : |V (T )| = n}. In this paper, we prove that there is a jump in the possible speeds of a hereditary property of tournaments, from polynomial to exponential speed. Moreover, we determine t...

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ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 1980

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091500003709