Total dominating sets in maximal outerplanar graphs
Magdalena Lemańska , Rita Zuazua , Paweł Żyliński
AbstractIn this note we present an alternative proof of the result by Dorfling et al. (DiscreteMath 339(3):1180–1188, 2016) establishing that any maximal outerplanar graph of order n ≥ 5 has a total dominating set of size at most [2n/5], apart from twoexceptions. In addition, we briefly discuss a relation between total domination in maximal outerplanar graphs and the concept of watched guards in simple polygons.
|Other language title versions|
|Journal series||Graphs and Combinatorics, ISSN 0911-0119|
|Publication size in sheets||0.5|
|Keywords in English||total domination, domination, outerplanar graph, watched guards|
|Score|| = 20.0, 20-12-2017, ArticleFromJournal|
= 20.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.441 (2) - 2016=0.527 (5)|
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