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A generalization of an independent set with application to \((K_q; k)\)-stable graphs

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Publication:741777
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DOI10.1016/j.dam.2013.08.036zbMath1300.05238OpenAlexW2080181361MaRDI QIDQ741777

Andrzej Żak

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.dam.2013.08.036


zbMATH Keywords

independence numberindependent setclique


Mathematics Subject Classification ID

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


Related Items (2)

Generalized transversals, generalized vertex covers and node-fault-tolerance in graphs ⋮ Minimum \(k\)-critical bipartite graphs



Cites Work

  • Unnamed Item
  • On \((K_q,k)\) vertex stable graphs with minimum size
  • On \((K_{q},k)\) stable graphs with small \(k\)
  • A lower bound on the size of \((H;1)\)-vertex stable graphs
  • Extremal \(P_4\)-stable graphs
  • On \((C_n;k)\) stable graphs
  • Extremal \(k\)-edge-Hamiltonian hypergraphs
  • On (Kq;k)-Stable Graphs
  • On vertex stability with regard to complete bipartite subgraphs
  • (H,k) stable graphs with minimum size
  • (H,k) stable bipartite graphs with the minimum size




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