Articles with "maximal outerplanar" as a keyword



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Total Dominating Sets in Maximal Outerplanar Graphs

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Published in 2017 at "Graphs and Combinatorics"

DOI: 10.1007/s00373-017-1802-7

Abstract: In this note we present an alternative proof of the result by Dorfling et al. (Discrete Math 339(3):1180–1188, 2016) establishing that any maximal outerplanar graph of order $$n \ge 5$$n≥5 has a total dominating set of… read more here.

Keywords: maximal outerplanar; outerplanar; outerplanar graphs; total dominating ... See more keywords
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Metric Dimension of Maximal Outerplanar Graphs

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Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-020-01068-6

Abstract: In this paper, we study the metric dimension problem in maximal outerplanar graphs. Concretely, if $$\beta (G)$$ β ( G ) denotes the metric dimension of a maximal outerplanar graph G of order n ,… read more here.

Keywords: outerplanar graphs; metric dimension; maximal outerplanar; dimension ... See more keywords