It is natural to study the Hamiltonicity of uniform hypergraphs. Given k ≥ 2 , a k-uniform hypergraph (in short, a k-graph) H = ( V , E ) consists of a vertex ...
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Feb 13, 2018 · Our result is best possible up to the values of \epsilon and C and answers a question of Krivelevich, Kwan and Sudakov.
HAMILTONICITY IN RANDOMLY PERTURBED HYPERGRAPHS. 3. (3) The vertices not covered by C are arbitrarily partitioned into pk ´ `q-sets and absorbed by Pabs.
Another well-studied object in graph theory is the random graph G(n,p), which con- tains n vertices and each pair of vertices forms an edge with probability p ...
Abstract. For integers $k\ge 3$ and $1\le \ell\le k-1$, we prove that for any $\alpha>0$, there exist $\epsilon>0$ and $C>0$ such that for sufficiently ...
It is proved that, for any $\alpha>0$, there exists $\epsilon>0$ such that the union of an $n$-vertex k-graph with minimum codegree and a binomial random ...
Hamiltonicity in randomly perturbed hypergraphs ; Document type: Journal article ; Source: JOURNAL OF COMBINATORIAL THEORY SERIES B; v. 144, p. 14-31, SEP 2020.
For k-graphs there a number of distinct but equally natural extensions of Hamiltonicity. Indeed, for 1 ≤ ℓ ≤ k-1 we say that a k-graph is an ℓ-cycle if ...
Hamiltonicity in randomly perturbed hypergraphs. Series. Combinatorics Seminar. Time: Friday, September 21, 2018 - 3:00pm for 1 hour (actually 50 minutes) ...
Jul 23, 2020 · For integers k \geq 3 and r\geq 2, we show that for every \alpha> 0, there exists \varepsilon > 0 such that the union of k-uniform hypergraph ...
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