Nearly perfect matchings in regular simple hypergraphs

pseudorandom hypergraph matchings - School of Mathematics

A celebrated theorem of Pippenger states that any almost regular hypergraph with small codegrees has an almost perfect matching. We show that one can find such ...

Almost all Steiner triple systems are almost resolvable

, 'Nearly perfect matchings in regular simple hypergraphs', Israel J. Math. 100 (1997), 171–187.CrossRefGoogle Scholar. [2]. Babai, L ...

Hypergraph matchings and designs - People

Person, Blow-up lemmas for sparse graphs, arxiv:1612.00622. [5] N. Alon, J. H. Kim and J. Spencer, Nearly perfect matchings in regular simple ...

[PDF] Nearly Optimal Partial Steiner Systems - Semantic Scholar

Nearly perfect matchings in regular simple hypergraphs · N. AlonJ. KimJ. Spencer. Mathematics. 1997. For every fixedk≥3 there exists a constantck with the ...

AMS :: Transactions of the American Mathematical Society, Series B

... Nearly perfect matchings in regular simple hypergraphs, Israel J. Math. 100 (1997), 171–187. MR 1469109, DOI 10.1007/BF02773639 · Noga Alon, Michael ...

Almost all Steiner triple systems have perfect matchings

us to complete an almost-perfect matching into a perfect matching. The ... Spencer, Nearly perfect matchings in regular simple hypergraphs,. Israel ...

Hypergraph matchings and designs

“Nearly perfect matchings in regular · simple hypergraphs”. Israel J. Math. 100, pp. 171–187. MR: 1469109 (cit. on p. 3136). Arash Asadpour, Uriel Feige, and ...

(PDF) Perfect Matchings in Random r-regular, s-uniform Hypergraphs

PDF | this paper we prove 2 Theorem 1 Suppose r; s are xed positive integers, then lim n!1 Pr(G n;r;s has a perfect matching ) = ( 0 s > r 1 s < r where.

[PDF] Almost all Steiner triple systems are almost resolvable

Nearly perfect matchings in regular simple hypergraphs · N. AlonJ. KimJ. Spencer. Mathematics. 1997. For every fixedk≥3 there exists a ...

Almost all Steiner triple systems are almost resolvable - Matthew Kwan

Spencer, Nearly perfect matchings in regular simple hypergraphs, Israel. J. Math. 100 (1997), 171–187. [2] L. Babai, Almost all Steiner triple systems are ...

The Existence of Designs via Iterative Absorption: Hypergraph

Noga Alon, Jeong-Han Kim, and Joel Spencer, Nearly perfect matchings in regular simple hypergraphs, Israel J. · Noga Alon and Raphael Yuster, On a hypergraph ...

Prove that a $k$-regular bipartite graph has a perfect matching

Since the graph is regular and edges go from X to Y. Without loss of generality, consider A⊆X to be an arbitrary subset, and ...

Perfect matchings in uniform hypergraphs with large minimum degree.

2.1 Almost perfect matchings. We first prove a simple result guaranteeing an 'almost perfect matching' already when δk−1 is close to n/k.

Does every 4 regular simple graphs have a perfect matching? - Quora

Obviously not. No graph with an odd number of vertices can have a perfect matching, so an odd cycle is a regular non-bipartite graph with no ...

Graphs constructed from sums of perfect matchings - MathOverflow

A k-regular bipartite graph has a perfect matching and hence k disjoint perfect matchings. So every regular bipartite graph has property II.

If G is n regular, then G has n disjoint perfect matchings.

It's firstly easy to show that G has a perfect matching by using Hall's Theorem, |N(S)|≥|S| with N the potential mathings and S a arbitary ...

The Existence of Designs via Iterative Absorption: Hypergraph 𝐹 ...

List of references. Alon, Noga, Nearly perfect matchings in regular simple hypergraphs, Israel J. Math., № 100, с. 171 https://doi.org/10.1007/BF02773639 ...

A natural barrier in random greedy hypergraph matching

Let r ⩾ 2 be a fixed constant and let be an r-uniform, D-regular hypergraph on N vertices. Assume further that D → ∞ as N → ∞ and that degrees of pairs of ...

Matching in hypergraphs - Wikipedia

In graph theory, a matching in a hypergraph is a set of hyperedges, in which every two hyperedges are disjoint. It is an extension of the notion of matching ...

On the asymmetry of random regular graphs and random graphs

{1} N. Alon, J. H. Kim, and J. Spencer, Nearly perfect matchings in regular simple hypergraphs, Isr J Math 100 (1997), 171-187.