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Edge weighting functions on the semitotal dominating set of claw-free graphs

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Publication:6666559
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DOI10.1017/s0004972724000017MaRDI QIDQ6666559

Hongzhang Chen, Shou-Jun Xu, Jie Chen

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)




zbMATH Keywords

claw-free graphsemitotal dominationedge weighting function


Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Signed and weighted graphs (05C22)


Cites Work

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  • Domination in intersecting hypergraphs
  • On the semitotal domination number of line graphs
  • Algorithmic aspects of semitotal domination in graphs
  • Edge weighting functions on semitotal dominating sets
  • Bounds on domination parameters in graphs: a brief survey
  • A characterization of \(3\)-\(\gamma\)-critical graphs which are not bicritical
  • On matching and semitotal domination in graphs
  • On matching and total domination in graphs
  • Total Domination in Graphs
  • Semitotal domination in claw-free cubic graphs
  • Semitotal domination in claw-free cubic graphs







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