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How local irregularity gets global in a graph

✍ Scribed by Dieter Rautenbach; Lutz Volkmann


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
66 KB
Volume
41
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We prove asymptotically tight bounds on the difference between the maximum degree and the minimum degree of a simple graph in terms of its order and of the maximum difference between the degrees of adjacent vertices. Examples showing tightness and a conjecture are presented. Β© 2002 Wiley Periodicals, Inc. J Graph Theory 41: 18–23, 2002


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