Bettayeb, Said2020-05-082020-05-082009Upper and Lower Bounds on the Pagenumber of the Book Embedding of the k-ary hypercube, (with David Hoelzeman), Journal of Digital Information Management, Vol. 7 Issue 1, Feb. 2009, pp. 31-35.https://hdl.handle.net/10657.1/2328Graph embeddings play an important role in interconnection network and VLSI design. Determining the number of layers required to build a VLSI chip is just one of the many areas in which graph embeddings are used. A type of embedding that is helpful in determining the number of layers is a book embedding. We develop upper and lower bounds on the pagenumber of a book embedding of the k-ary hypercube along with an upper bound on the cumulative pagewidth.Embedded Systems--Usage Very Large Scale Integration--Design and ConstructionUpper and Lower Bounds on the Pagenumber of the Book Embedding of the k-ary HypercubeArticle