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On computing secure domination of trees

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Publication:5025125
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DOI10.1142/S1793830921500555zbMath1479.05284MaRDI QIDQ5025125

Abolfazl Poureidi

Publication date: 1 February 2022

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)


zbMATH Keywords

treedynamic programmingdominating setlinear algorithmsecure dominating set


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Trees (05C05) Graph algorithms (graph-theoretic aspects) (05C85) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (3)

Complexity results on cosecure domination in graphs ⋮ On connected co-independent domination in the join, corona and lexicographic product of graphs ⋮ On the complexity of co-secure dominating set problem




Cites Work

  • Unnamed Item
  • Roman \(\{2 \}\)-domination
  • Double Roman domination
  • On the \(k\)-tuple domination of generalized de Brujin and Kautz digraphs
  • Rainbow domination in graphs
  • A linear algorithm for secure domination in trees
  • Defendens Imperium Romanum: A Classical Problem in Military Strategy
  • A Nordhaus–Gaddum bound for Roman domination
  • Double domination and super domination in trees
  • Global total Roman domination in graphs




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