A Stability Theorem for Matchings in Tripartite 3-Graphs
Keyword(s):
It follows from known results that every regular tripartite hypergraph of positive degree, with n vertices in each class, has matching number at least n/2. This bound is best possible, and the extremal configuration is unique. Here we prove a stability version of this statement, establishing that every regular tripartite hypergraph with matching number at most (1 + ϵ)n/2 is close in structure to the extremal configuration, where ‘closeness’ is measured by an explicit function of ϵ.
1975 ◽
Vol 17
(1)
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pp. 34-47
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2001 ◽
Vol 42
(3)
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pp. 161-168
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1983 ◽
Vol 3
(4)
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pp. 567-578
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2015 ◽
Vol 2015
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pp. 1-12
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2016 ◽
Vol 26
(01)
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pp. 1650004
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