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Some remarks on stochastic dominance

โœ Scribed by Erio Castagnoli


Publisher
Springer Milan
Year
1984
Tongue
English
Weight
648 KB
Volume
7
Category
Article
ISSN
1593-8883

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Some remarks on domination
โœ D. Archdeacon; J. Ellis-Monaghan; D. Fisher; D. Froncek; P.C.B. Lam; S. Seager; ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 49 KB

## Abstract We prove a conjecture of Favaron et al. that every graph of order __n__ and minimum degree at least three has a total dominating set of size at least __n__/2. We also present several related results about: (1) extentions to graphs of minimum degree two, (2) examining graphs where the bo

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We study three recently introduced numerical invariants of graphs, namely, the signed domination number y., the minus domination number 7 and the majority domination number ymaj. An upper bound for ys and lower bounds for ;'-and Y,,~ are found, in terms of the order of the graph.