Maximum Bandwidth Under Edge Addition

Jianfang Wang, Douglas B. West, Bing Yao · Journal of Graph Theory · 1995

Abstract We determine how much the bandwidth B ( G ) of a graph G can increase when a single edge is added. Let g ( b,n ) be the maximum possible value of B ( G + e ) when G has n vertices and bandwidth b . The problem of studying when B ( G + e ) ≦ B ( G ) + 1 was originally possed by Erdos. We determine magnified image © 1996 John Wiley & Sons, Inc.

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