Sep 25, 2009 · Let f(r,s,t) f ( r , s , t ) be the maximal k k for which there exists a set of k k matchings of size t t in some r r -partite hypergraph, such ...

Sep 25, 2009 · Abstract. Given a collection of matchings M = (M1,M2,...,Mq) (repetitions allowed), a matching M contained in SM is said to be s-rainbow for ...

Sep 25, 2009 · In this article we study matchings in r-partite r-graphs, and we are concerned with the following question: what size q of a collection of t- ...

Given a collection of matchings M = (M1,M2,...,Mq) (repetitions allowed), a matching M contained in S M is said to be s-rainbow for M if it contains repre- ...

Return to Article Details Rainbow Matchings in r r -Partite r r -Graphs Download Download PDF. Thumbnails Document Outline Attachments.

Nov 5, 2012 · Abstract. Given a coloring of the edges of a multi-hypergraph, a rainbow t-matching is a collection of t disjoint edges, each having a ...

A rainbow matching in a bipartite graph can be understood as a matching in a certain 3–partite 3–uniform hypergraph by adding to each edge a third vertex ...

In this section we prove a result on the existence of rainbow matchings for a collection of bipartite graphs, all sharing the same vertex set and bipartition, ...

A matching M in an edge–colored (hyper)graph is rainbow if each pair of edges in M have distinct colors. We extend the result of Erdős and Spencer on the ...

In the mathematical discipline of graph theory, a rainbow matching in an edge-colored graph is a matching in which all the edges have distinct colors.