New results on edge-bandwidth

نویسندگان

Tiziana Calamoneri

Annalisa Massini

Imrich Vrto

چکیده

The edge-bandwidth problem is an analog of the classical bandwidth problem, in which one has to label the edges of a graph by distinct integers such that the maximum difference of labels of any two incident edges is minimized. We prove tight bounds on the edge-bandwidth of hypercube and butterfly graphs and complete k-ary trees which extend and improve on previous known results. We also provide an improvement on the upper bound for the bandwidth of butterfly.

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