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On positive influence dominating sets in social networks

โœ Scribed by Feng Wang; Hongwei Du; Erika Camacho; Kuai Xu; Wonjun Lee; Yan Shi; Shan Shan

Book ID
108281591
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
410 KB
Volume
412
Category
Article
ISSN
0304-3975

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## Abstract Let __G__ be a graph and let __S__โŠ‚__V__(__G__). We say that __S__ is __dominating__ in __G__ if each vertex of __G__ is in __S__ or adjacent to a vertex in __S__. We show that every triangulation on the torus and the Klein bottle with __n__ vertices has a dominating set of cardinality