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March 18, 2024MDPIOpen Access

Domination Number in the Context of Some New Graphs

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Authors

SLSlashi LeelSharda UniversitySSSweta SrivastavSharda UniversitySGSangeeta GuptaSharda University

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Implication

Theoretical study determines domination numbers across new graph families, highlighting practical applications in network design and security analysis.

Key Points

  • Domination numbers are established for antiprism graphs, alternate pentagonal snakes, and cycles with one chord to optimize discrete networks.
  • Theoretical graph analysis evaluates vertex subsets ensuring every remaining node connects directly to at least one element within set D.
  • Determining minimal dominating sets supports efficient algorithm design and network security analysis, resolving complex computational tasks.

Cite This Study

Leel et al. (2024) studied this question.

synapsesocial.com/papers/68e7387fb6db6435876b17c9https://doi.org/10.3390/engproc2024062014
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