Asymptotic Sharpness of Bounds on Hypertrees

The hypertree can be defined in many different ways. Katona and Szabó introduced a new, natural definition of hypertrees in uniform hypergraphs and investigated bounds on the number of edges of the hypertrees. They showed that a k-uniform hypertree on n vertices has at most (nk−1)$\left( {\matrix{n...

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Bibliographic Details
Main Authors: Lin Yi, Kang Liying, Shan Erfang
Format: Article
Language:English
Published: Sciendo 2017-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1947