Nearly perfect matchings in regular simple hypergraphs

On the matching polynomial of hypergraphs - DergiPark

[1] N. Alon, J. Kim, J. Spencer, Nearly perfect matchings in regular simple hypergraphs, J. Isr. J. Math. 100(1) ...

Finding Perfect Matchings in Dense Hypergraphs - People

The starting point for the new approach in this paper is to observe that this issue can be avoided via an algorithm of Han [9] that either finds an almost.

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.

Hypergraphs With a Unique Perfect Matching

hypergraph (which is commonly referred to as a graph), a nearly perfect matching is a matching ... k-regular graph is a graph where every vertex ...

Approximate Counting of Matchings in Sparse Hypergraphs

perfect matchings and hypergraphs that do not have nearly perfect matchings. ... . Note that for a simple H, every matching M = {{u1,v1},..., {ut,vt}} in ...

Conflict-free Hypergraph Matchings and Coverings

Recent work showing the existence of conflict-free almost-perfect hypergraph match- ... in Q (making H1 essentially vertex-regular), so that ...

On the rainbow matching conjecture for 3-uniform hypergraphs

... almost regular subgraph of H − V (M); and find an almost perfect matching in H −V (M). To complete the process, we also need to prove a new result on matchings ...

Matchings in k-partite k-uniform hypergraphs

We need the following simple fact on k-partite k-graphs. Fact 2.4. Let H ... Near perfect matchings in k-uniform hypergraphs II. SIAM J. Discrete Math ...

Matchings and Flows in Hypergraphs

. Similar, there is an easy way to construct non-balanced, non-Mengerian, normal ... disjoint union of r perfect matchings because a balanced hypergraph is normal ...

israel journal of mathematics table of contents, volume 100, 1997

SpEncER Nearly perfect matchings in regular simple hypergraphs. 171. BATEs, S. M. On smooth, nonlinear surjections ofBanach spaces. 209. BEn AмInI, I. On the ...

A normal law for matchings 1 Introduction - rutgers math

For a simple graph G, let ξG be the size of a matching drawn uniformly at random from the set of all matchings of G. Motivated by work of C. Godsil. [11], we ...

The Matching Process and Independent Process in Random ...

sequence in order for the random graph to have an almost perfect matching (i.e. a ... Perfect matchings in random r-regular, s-uniform hypergraphs ...

Matchings, Hamilton cycles and cycle packings in uniform ... - EMIS

There are several partial results, see e.g. Kim [Kim03]. A simple corollary of Hall's theorem for graphs ... New bounds on nearly perfect matchings in hypergraphs ...

Large matchings in uniform hypergraphs and the conjectures of Erd ...

An immediate corollary of that theorem asserts the existence of an almost perfect matching in any nearly regular k-graph ... is easy to see that the fractional ...

Decision problem for perfect matchings in dense 𝑘-uniform ... - jstor

We will use the following simple result from [16] to prove Lemma 3.8. ... [5] Jie Han, Near perfect matchings in k-uniform hypergraphs, Combin.

Approximate Counting of Matchings in Sparse Uniform Hypergraphs

A hypergraph is called linear (a.k.a. simple) when no two edges share more than one vertex, that is, the maximum pair degree is one. The intersection graph of a ...

Perfect Matchings in Random #-Uniform Hypergraphs

... perfect match- ings in randomLK -regular, s-uniform hypergraphs. 8 urprisingly, this seems to be an easier problem and is sol able by the Analysis ofNM ...

Pseudorandom hypergraph matchings - Typeset.io

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 ...

Perfect Matchings in O(nlog n) Time in Regular Bipartite Graphs

In this paper we consider the well-studied problem of finding a perfect matching in a d-regular bipartite graph on 2n nodes.

Large matchings in uniform hypergraphs and the conjectures of ...

An immediate corollary of that theorem asserts the existence of an almost perfect matching in any nearly regular k-graph in which all 2 ...