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On cross-bandwidth
Authors:J. Kahn  D.J. Kleitman
Affiliation:Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract:The notion of cross-bandwidth is introduced, and it is shown that any graph that is suitably contractible to a k-connected graph has cross-bandwidth at least k. The contracted edges must induce in the original graph a subgraph of maximum degree at most one. This is used to resolve a conjecture of Erdös and Chinn on the bandwidth of certain graphs.
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