Short Certificates for Tournaments
نویسندگان
چکیده
An isomorphism certificate of a labeled tournament T is a labeled subdigraph of T which together with an unlabeled copy of T allows the errorless reconstruction of T . It is shown that any tournament on n vertices contains an isomorphism certificate with at most n log2 n edges. This answers a question of Fishburn, Kim and Tetali. A score certificate of T is a labeled subdigraph of T which together with the score sequence of T allows its errorless reconstruction. It is shown that there is an absolute constant > 0 so that any tournament on n vertices contains a score certificate with at most (1/2− )n edges.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 4 شماره
صفحات -
تاریخ انتشار 1997