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How local irregularity gets global in a graph
β 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.
β¦ 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: 18β23, 2002
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