Intransitive Trees

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Intransitive Trees

We study the class of trees T on the set [1, 2, ..., n] such that for any 11i<j<kn the pairs [i, j] and [ j, k] cannot both be edges in T. We derive a formula for the number of such trees. We also give a functional equation and a differential equation for the generating function. We mention some additional combinatorial interpretations of these numbers. 1997 Academic Press 1. MAIN THEOREMS Defi...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1997

ISSN: 0097-3165

DOI: 10.1006/jcta.1996.2735