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<p>This study examines the subdivision of graphs in the context of multiplicative labeling. Subdivision involves inserting new vertices into edges and appropriately connecting them, altering the graph’s structure. We analyze how this transformation affects the maximization of even multiplicative labeling and explore its impact on the original graph. Additionally, we discuss applications in network analysis, communication networks and computational biology. Understanding the relationship between graph subdivision and multiplicative labeling enhances theoretical insights into graph structures and provides practical implications for solving real-world problems.</p>

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Enhanced maximization of even multiplicative labeling through subdivision graph

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • D. Thamizisai,
  • R. Mary Jeya Jothi

摘要

This study examines the subdivision of graphs in the context of multiplicative labeling. Subdivision involves inserting new vertices into edges and appropriately connecting them, altering the graph’s structure. We analyze how this transformation affects the maximization of even multiplicative labeling and explore its impact on the original graph. Additionally, we discuss applications in network analysis, communication networks and computational biology. Understanding the relationship between graph subdivision and multiplicative labeling enhances theoretical insights into graph structures and provides practical implications for solving real-world problems.