## Abstract Let __G__ be a simple graph of order __n__ with no isolated vertices and no isolated edges. For a positive integer __w__, an assignment __f__ on __G__ is a function __f__: __E__(__G__) β {1, 2,β¦, __w__}. For a vertex __v__, __f__(__v__) is defined as the sum __f__(__e__) over all edges
β¦ LIBER β¦
Irregularity strength and compound graphs
β Scribed by Olivier Togni
- Book ID
- 108316429
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 116 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract An assignment of positive integer weights to the edges of a simple graph __G__ is called irregular, if the weighted degrees of the vertices are all different. The irregularity strength, __s__(__G__), is the maximal weight, minimized over all irregular assignments. In this study, we show