Decomposition of multiple coverings into more parts (Q603854)

From MaRDI portal





scientific article; zbMATH DE number 5813745
Language Label Description Also known as
English
Decomposition of multiple coverings into more parts
scientific article; zbMATH DE number 5813745

    Statements

    Decomposition of multiple coverings into more parts (English)
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    8 November 2010
    0 references
    The authors prove that for every centrally symmetric convex polygon \(Q\), there exists a constant \(\alpha\) such that any locally finite \(\alpha k\)-fold covering of the plane by translates of \(Q\) can be decomposed into \(k\) coverings.
    0 references
    cover decomposition
    0 references
    geometric hypergraphs
    0 references
    centrally symmetric polygons
    0 references

    Identifiers