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Secure sets and their expansion in cubic graphs

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Publication:403188
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DOI10.2478/s11533-014-0411-4zbMath1297.05180OpenAlexW2023789676MaRDI QIDQ403188

Elżbieta Sidorowicz, Katarzyna Jesse-Józefczyk

Publication date: 29 August 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-014-0411-4


zbMATH Keywords

expansioncubic graphssecure set


Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)



Uses Software

  • House of Graphs
  • snarkhunter


Cites Work

  • Unnamed Item
  • Self-stabilizing algorithms for minimal global powerful alliance sets in graphs
  • Bounds on global secure sets in cactus trees
  • Global secure sets of grid-like graphs
  • The possible cardinalities of global secure sets in cographs
  • On the global offensive alliance number of a graph
  • Powerful alliances in graphs
  • On a graph's security number
  • Global defensive alliances in graphs
  • House of Graphs: a database of interesting graphs
  • Monotonicity and expansion of global secure sets
  • Security in graphs
  • Bounds on a graph's security number
  • Matching cutsets in graphs
  • The Generation of Fullerenes


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