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Codiameters of 3-domination critical graphs with toughness more than one

✍ Scribed by T.C. Edwin Cheng; Yaojun Chen; C.T. Ng


Book ID
108113964
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
965 KB
Volume
309
Category
Article
ISSN
0012-365X

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Codiameters of 3-connected 3-domination
✍ Yaojun Chen; Feng Tian; Bing Wei πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 110 KB

## Abstract A graph __G__ is 3‐domination critical if its domination number Ξ³ is 3 and the addition of any edge decreases Ξ³ by 1. Let __G__ be a 3‐connected 3‐domination critical graph of order __n__. In this paper, we show that there is a path of length at least __n__βˆ’2 between any two distinct ve