Score vectors of Kotzig tournaments |
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| Institution: | Department of Mathematics, Yunnan Normal University, Kunming, Yunnan, The People''s Republic of China;Department of Mathematics, Guangxi University, Nanning, Guangxi, The People''s Republic of China;Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, The People''s Republic of China |
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| Abstract: | An n-tournament Tn is said to be a Kotzig tournament if the n subtournaments of Tn of order n − 1 are isomorphic. And a nonnegative integral vector R is said to be potentially Kotzig if there exists some Kotzig tournament Tn such that its score vector is R. In this paper, a criterion is found for determining whether a non-negative integral vector R is potentially Kotzig. |
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