Two-path convexity in clone-free regular multipartite tournaments
نویسندگان
چکیده
We present some results on two-path convexity in clone-free regular multipartite tournaments. After proving a structural result for regular multipartite tournaments with convexly independent sets of a given size, we determine tight upper bounds for their size (called the rank) in clone-free regular bipartite and tripartite tournaments. We use this to determine tight upper bounds for the Helly and Radon number in the bipartite case. We also derive an upper bound for the rank of a general clone-free regular multipartite tournament.
منابع مشابه
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 36 شماره
صفحات -
تاریخ انتشار 2006