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On weighted efficient total domination

โœ Scribed by Oliver Schaudt


Book ID
113699048
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
201 KB
Volume
10
Category
Article
ISSN
1570-8667

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For a graph G, let ~'(G), 3,z(G), i(G) and ir(G) denote the domination, total domination, independent domination and irredundance numbers of G, respectively. The following conjectures due to Robyn Dawes are proved: G)<~p and (ii) i(G)+ ~/z(G)~2. It is also shown that (iii) 3,t(G) ~<2ir(G) and (iv) 3