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A note on perfect matchings in uniform hypergraphs


A note on perfect matchings in uniform hypergraphs

A perfect matching in a hypergraph H is a collection of vertex-disjoint edges of H which cover the vertex set V (H) of H. Given a k-uniform ...

A Note on Perfect Matchings in Uniform Hypergraphs

We determine the exact minimum ℓ ℓ -degree threshold for perfect matchings in k k -uniform hypergraphs when the corresponding threshold for ...

[1503.03357] A note on perfect matchings in uniform hypergraphs

Abstract:We determine the \emph{exact} minimum \ell-degree threshold for perfect matchings in k-uniform hypergraphs when the corresponding ...

A note on perfect matchings in uniform hypergraphs

A perfect matching in a hypergraph H is a collection of vertex-disjoint edges of H which cover the vertex set V (H) of H. Given a k-uniform ...

A note on perfect matchings in uniform hypergraphs with large ...

Further, let t(k, n) be the smallest integer t such that every k-uniform hypergraph on n vertices and with δk−1(H) ≥ t contains a perfect matching. The ...

a note on perfect matchings in uniform hypergraphs with ... - CiteSeerX

Further, let t(k, n) be the smallest integer t such that every k-uniform hypergraph on n vertices and with δk−1(H) ≥ t contains a perfect matching. In [4] the ...

A note on perfect matchings in uniform hypergraphs - NASA/ADS

We determine the \emph{exact} minimum $\ell$-degree threshold for perfect matchings in $k$-uniform hypergraphs when the corresponding threshold for perfect ...

A note on perfect matchings in uniform hypergraphs with large ...

top For an integer and a -uniform hypergraph , let be the largest integer such that every -element set of vertices of belongs to at least edges of .

On Perfect Matchings in Uniform Hypergraphs with Large Minimum ...

In particular, we obtain a minimum vertex degree condition ( ℓ = 1 ) for 3-uniform hypergraphs, which is approximately tight, by showing that every 3-uniform ...

A note on colour-bias perfect matchings in hypergraphs - arXiv

In this note we prove an analogous result for perfect matchings in k-uniform hypergraphs. More precisely, for each 2\leq \ell

A note on colour-bias perfect matchings in hypergraphs

Let mℓ(k, n) denote the smallest integer m such that every k-uniform hypergraph H on n vertices with δℓ(H) ≥ m contains a perfect matching. A simple consequence ...

A Note on Color-Bias Perfect Matchings in Hypergraphs

Let m\ell (k,n) denote the smallest integer m such that every k-uniform hypergraph H on n vertices with. \delta \ell (H) \geq m contains a ...

A note on perfect matchings in uniform hypergraphs

A note on perfect matchings in uniform hypergraphs ; P1.16 · 14 · The Electronic Journal of Combinatorics · 23 · 1.

On perfect matchings in uniform hypergraphs with large minimum ...

Consider the auxiliary bipartite graph G2 with vertex classes Y2 and (M)4 with {v, (E, F, G, H)} being an edge if and only if EF, GH ∈ A(v) and FG ∈ B(v). Note ...

Perfect matchings in 4-uniform hypergraphs - ScienceDirect

A perfect matching in a 4-uniform hypergraph on n vertices is a subset of ⌊ n 4 ⌋ disjoint edges. We prove that if H is a sufficiently large 4-uniform ...

A Note on Color-Bias Perfect Matchings in Hypergraphs

In this note we prove an analogous result for perfect matchings in k-uniform hypergraphs. More precisely, for each 2 ≤ ℓ < k and r ≥ 2 we determine the ...

Perfect matchings in uniform hypergraphs with large minimum degree

A perfect matching in a k -uniform hypergraph on n vertices, n divisible by k , is a set of n / k disjoint edges. In this paper we give a sufficient ...

Perfect matchings in uniform hypergraphs with large minimum degree

A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition ...

Perfect matchings in 4-uniform hypergraphs - ACM Digital Library

A perfect matching in a 4-uniform hypergraph on n vertices is a subset of n 4 disjoint edges. We prove that if H is a sufficiently large 4-uniform ...

Perfect matchings in large uniform hypergraphs with large minimum ...

We define a perfect matching in a k-uniform hypergraph H on n vertices as a set of n/k disjoint edges. Let δk−1(H) be the largest integer d such that every ...