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September 22, 2025Open Access

Formalization of the generalized domination structure in graphs with combinatorial analysis

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This work generalizes the minimum dominating set problem across various graph types, expanding the understanding of domination structures.
The paper provides a detailed analysis for graphs with maximum degree 3 and extends to broader classes of graphs.
Technical aspects are complemented by comprehensive combinatorial analysis, enriching the theoretical foundations laid out.
Findings may influence future research directions in graph theory and combinatorial optimization.

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Technical paper generalizes the minimum dominating set problem for graphs, suggesting new insights into domination structures.

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Misa Nakanishi (2025) studied this question.

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