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Kings in Hypertournaments
Authors:Dejan Brcanov  Vojislav Petrovic  Miroslav Treml
Affiliation:1. Faculty of Economy, University of Novi Sad, Segedinski put 9-11, 24000, Subotica, Serbia
2. Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovica 4, 21000, Novi Sad, Serbia
3. Faculty of Natural Sciences, University of Banja Luka, Mladena Stojanovic 1, 51000, Banja Luka, Bosnia and Hercegovina
Abstract:A vertex v is an s-king (s ≥ 1) of an hypertournament T if the distance from v to every vertex of T is at most s. We show that Landau’s theorem for 2-kings of ordinary tournaments also holds in hypertournaments. Possible distributions of 1-kings and 2-kings in hypertournaments are considered.
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