Linear trees in uniform hypergraphs

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Given a tree T on v vertices and an integer k ≥ 2 one can define the k-expansion T (k) as a k-uniform linear hypergraph by enlarging each edge with a new, distinct set of k - 2 vertices. T (k) has v+(v-1)(k-2) vertices. The aim of this paper is to show that using the delta-system method one can easily determine asymptotically the size of the largest T (k) -free n-vertex hypergraph, i.e., the Turán number of T (k) .

Original languageEnglish
Pages (from-to)264-272
Number of pages9
JournalEuropean Journal of Combinatorics
Publication statusPublished - Jan 2014


ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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