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Some characterizations of domination

✍ Scribed by Jairo Bochi; Nicolas Gourmelon

Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
360 KB
Volume
263
Category
Article
ISSN
0025-5874

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## 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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The main result in this paper is to establish some new characterizations of convex functions, in which we also simplify the proof of the characterizations given by Bessenyei and PΓ‘les.