This article provides a survey of results on the exact bandwidth, edge-sum,
and profile of graphs. A bibliography of work in these areas is provided.
The emphasis is on composite graphs. This may be regarded as an update of t
he original survey of solved bandwidth problems by Chinn, Chvatalova, Dewdn
ey, and Gibbs [10] in 1982. Also several of the application areas involving
these graph parameters are described. (C) 1999 John Wiley & Sons, Inc.