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On bandwidth sums of graphs
Authors:Bing Yao  Jianfang Wang
Institution:(1) Department of Mathematics, Northwestern Normal University, 730070 Lanzhou, China;(2) Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China
Abstract:For a graphG=(V,E) of orderp, a 1–1 mappingf:Vrarr{1,2,...,p} is called a labelling ofG. B sum(G)=min f {Sgr(u,v)notinE |f(u)–f(v)|:f is a labelling ofG} is called the bandwidth sum ofG.In this paper, some lower bounds and upper bounds of bandwidth sums of graphs are given.This research is supported by the National Natural Science Foundation of China.
Keywords:Bandwidth sum of a graph
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