Nearly Perfect Matchings in Uniform Hypergraphs

[1911.07431] Near perfect matchings in uniform hypergraphs - arXiv

When l=k-2 and k\ge 5, such a matching is near perfect and our bound on \delta_l(H) is best possible. When k=3, with the help of an absorbing ...

This improves upon an earlier result of Hàn, Person, and Schacht for the range k / 2 < l ≤ k − 1 . In many cases, our result gives a tight bound on δ l ( H ) ...

Nearly Perfect Matchings in Uniform Hypergraphs - NSF PAR

Moreover, a matching in a k-graph is near perfect if it covers all but at most k vertices. We are interested in degree conditions for the existence of a nearly ...

Nearly Perfect Matchings in Uniform Hypergraphs

We show that if H is a k -uniform hypergraph on n vertices with δ d ( H ) > ( n − d k − d ) − ( n − d − s + 1 k − d ) , then H contains a matching of size s .

[1404.1136] Near Perfect Matchings in $k$-uniform Hypergraphs

Title:Near Perfect Matchings in k-uniform Hypergraphs ... Abstract:Let H be a k-uniform hypergraph on n vertices where n is a sufficiently large ...

Nearly perfect matchings in uniform hypergraphs - Semantic Scholar

Nearly perfect matchings in uniform hypergraphs. Xiaofan Yuan. School of Mathematics. Georgia Institute of Technology. Joint work with Hongliang ...

Almost perfect matchings in random uniform hypergraphs

It is shown that for every 0 < ε < 1 if p = (C ln n)/nr−1 with C = C(ε) sufficiently large, then almost surely every subset V1 ⊂ V of size | V1 ...

Nearly perfect matchings in regular simple hypergraphs

Let H be a k- uniform, D-regular hypergraph on N vertices, in which no two edges contain more than one com- mon vertex. If k > 3 then H contains a matching ...

Near Perfect Matchings in k-Uniform Hypergraphs

Near Perfect Matchings in k-Uniform Hypergraphs - Volume 24 Issue 5.

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 ...

Nearly Perfect Matchings in Uniform Hypergraphs | Request PDF

Request PDF | On May 17, 2021, Hongliang Lu and others published Nearly Perfect Matchings in Uniform Hypergraphs | Find, read and cite all ...

Near Perfect Matchings in $k$-uniform Hypergraphs - NASA/ADS

Near Perfect Matchings in $k$-uniform Hypergraphs ... Abstract. Let $H$ be a $k$-uniform hypergraph on $n$ vertices where $n$ is a sufficiently large integer not ...

On the number of nearly perfect matchings in almost regular uniform ...

Combin. Theory A 51 (1989) 24–42). Grable announced in J. Combin. Designs 4 (4) (1996) 255–273 that such hypergraphs have exponentially many nearly perfect ...

The Complexity of Almost Perfect Matchings in Uniform Hypergraphs ...

In this paper we prove that the problem APM(k,r,c) of deciding whether a given k −uniform hypergraph H, with minimum (k − 1) −wise vertex degree at least ...

A note on perfect matchings in uniform hypergraphs

The next result from [19] ensures a perfect matching when our hypergraph H is close to one of the extremal hypergraphs bn,k and bn,k. Theorem 6.

New bounds on the size of nearly perfect matchings in almost ...

Let H $H$ be a k $k$ -uniform D $D$ -regular hypergraph on N $N$ vertices with codegree at most C < D 1 − γ $C < D^{1- \gamma }$ . Then there ...

Nearly perfect matchings in regular simple hypergraphs - SpringerLink

LetH be ak-uniform,D-regular hypergraph onN vertices, in which no two edges contain more than one common vertex. Ifk>3 thenH contains a matching covering ...

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

pearance of perfect and nearly perfect matchings in k-uniform hypergraphs. In particular, we obtain a minimum vertex degree condition (ℓ = 1) for 3-uniform.

On a hypergraph matching problem - Princeton Math

... near perfect coverings and matchings of uniform hypergraphs gives sufficient conditions for the existence of a (1 − ,{V })-perfect matching. For x, y ∈ V ...

New bounds on the size of nearly perfect matchings in almost ...

Based on this, we also improve the results of Kostochka and Rödl from 1998 and Vu from 2000 on the size of matchings in almost regular hypergraphs with small ...