Total domination in maximal outerplanar graphs

DOI10.1016/j.dam.2016.10.020zbMath1358.05213OpenAlexW2557209683MaRDI QIDQ516883

Johannes H. Hattingh, Elizabeth Jonck, Michael J. Dorfling

Publication date: 15 March 2017

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2016.10.020

zbMATH Keywords

dominationtotal dominationouterplanar graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (14)

Bounds for the connected domination number of maximal outerplanar graphs ⋮ Partial domination of maximal outerplanar graphs ⋮ Connected domination in maximal outerplanar graphs ⋮ On the secure domination numbers of maximal outerplanar graphs ⋮ Extensions of the Art Gallery Theorem ⋮ Relating the annihilation number and the total domination number for some graphs ⋮ Total domination in plane triangulations ⋮ Coupon-coloring and total domination in Hamiltonian planar triangulations ⋮ On domination game stable graphs and domination game edge-critical graphs ⋮ Domination and outer connected domination in maximal outerplanar graphs ⋮ Isolation number of maximal outerplanar graphs ⋮ Double domination in maximal outerplanar graphs ⋮ Semipaired domination in maximal outerplanar graphs ⋮ Independent domination in outerplanar graphs

Cites Work

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• On dominating sets of maximal outerplanar and planar graphs
• Characterizations of outerplanar graphs
• Dominating sets in planar graphs
• On dominating sets of maximal outerplanar graphs
• Dominating sets of maximal outerplanar graphs
• Domination numbers of planar graphs

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