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Italian Domination Number for Strong Product of Cycles and Paths

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  • Liyang Wei
  • Feng Li

Abstract

This paper mainly considers the Italian domination number for strong product of cycles and paths. After constructing some recursive Italian dominating functions, we derive the upper bounds for the Italian domination number of strong product of cycles and paths. Then, we propose a bagging approach and a partitioning approach to study the lower bounds for the Italian domination number of strong product of cycles and paths. At present, there are few studies on the Italian domination number, especially for large graphs such as strong product graphs. Hence, the study of Italian domination number in strong product graphs can not only enrich the research results of graph domination theory but also provide theoretical support and foundation for large-scale Internet networks.

Suggested Citation

  • Liyang Wei & Feng Li, 2025. "Italian Domination Number for Strong Product of Cycles and Paths," Journal of Mathematics, Hindawi, vol. 2025, pages 1-10, December.
    • Handle: RePEc:hin:jjmath:5558033
    DOI: 10.1155/jom/5558033
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