Inducibility of 4-vertex tournaments
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2021-03-15
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Lidicky, Bernard
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Mathematics
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Mathematics
Abstract
We determine the inducibility of all tournaments with at most 4 vertices together with the extremal constructions. The 4-vertex tournament containing an oriented C3 and one source vertex has a particularly interesting extremal construction. It is an unbalanced blow-up of an edge, where the sink vertex is replaced by a quasi-random tournament and the source vertex is iteratively replaced by a copy of the construction itself.
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This preprint is made available through arXiv: https://arxiv.org/abs/2103.07047.
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Fri Jan 01 00:00:00 UTC 2021