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Random paths through rectangles and cubes

✍ Scribed by Rodney Coleman


Publisher
Elsevier Science
Year
1973
Weight
407 KB
Volume
6
Category
Article
ISSN
0026-0800

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In this note we are concerned with the existence of matchings and families of disjoint paths between subsets of the n-dimensional discrete cube Qn. For example, we show that if A is a subset of Qn of size C:=,(;), where k c 4% then there is a matching from A to its complement of size at least (;).