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 ...

Nearly perfect matchings in regular simple hypergraphs - SpringerLink

Any Steiner Triple System onN vertices contains a matching covering all vertices but at mostO(N 1/2 ln 3/2 N), improving results by various authors.

New bounds on the size of Nearly Perfect Matchings in almost ...

Abstract:Let H be a k-uniform D-regular simple hypergraph on N vertices. Based on an analysis of the Rödl nibble, Alon, Kim and Spencer ...

Nearly perfect matchings in regular simple hypergraphs — Tel Aviv ...

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

dong yeap kang, daniela kühn, abhishek methuku, and deryk osthus

Nearly perfect matchings in almost regular hypergraphs with small codegree ... Nearly perfect matchings in regular simple hypergraphs, Israel.

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

In this paper, we present a simple proof of Grable's extension of Pippenger's theorem. Our proof is based on a comparison of upper and lower bounds of the ...

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

In Section 5, we analyse the classical Rödl nibble (on an input hypergraph which is simple) to prove Theorem 5.1. Theorem 5.1 shows that in ...

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

-regular simple hypergraph on (Formula presented.) vertices. Based on an analysis of the Rödl nibble, in 1997, Alon, Kim and Spencer proved that if (Formula ...

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 ...

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

Our contribution is a simple proof of the following theorem. Theorem 2. Let r be ÿxed and Hn be an r-uniform hypergraph on n vertices satisfying the conditions ...

New bounds on the size of Nearly Perfect Matchings in almost ...

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

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

Let 𝐻 be a 𝑘-uniform 𝐷-regular simple hypergraph on 𝑁 vertices. Based on an analysis of the Rödl nibble, in 1997, Alon, Kim and Spencer ...

Perfect matching in a vertex-transitive hypergraph - MathOverflow

The case r=2 is easy: we are then looking at vertex-transitive bipartite graphs, and every such graph has a perfect matching by Hall's marriage ...

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

Spencer, Nearly perfect matchings in regular simple hypergraphs, Israel J. Math. 100 (1997), 171–187. ... 2N. Alon and R. Yuster, On a hypergraph ...

Nearly perfect matchings in regular simple hypergraphs – Fingerprint

Dive into the research topics of 'Nearly perfect matchings in regular simple hypergraphs'. Together they form a unique fingerprint. Sort by; Weight ...

New bounds on nearly perfect matchings in hypergraphs

Request PDF | New bounds on nearly perfect matchings in hypergraphs: Higher codegrees do help | Let H be a (k + 1)-uniform, D-regular hypergraph on n ...

Computing the partition function for perfect matchings in a hypergraph

As a corollary of Theorem 1.3, we obtain the following estimate for the number of nearly perfect matchings in a regular hypergraph (see also [C+91] for some ...

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 matching - Wikipedia

A perfect matching can only occur when the graph has an even number of vertices. A near-perfect matching is one in which exactly one vertex is unmatched. This ...

On a hypergraph matching problem - Princeton Math

In other words, if H is nearly regular and the maximum co-degree is relatively small compared to the maximum degree then an almost perfect matching is ...