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arXiv · 2401.04617

On independent domination and packing numbers of subcubic graphs

Xuqing Bai·Zhipeng Gao·Changqing Xi·Jun Yue
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Abstract

In a recent paper, Cho and Kim proved that in subcubic graphs, the independent domination number is at most three times the packing number. They subsequently posed the question of characterizing subcubic graphs that achieve this bound. In this paper, we completely solve the question by proving that exactly four graphs meet this bound.

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Xuqing Bai, Zhipeng Gao, Changqing Xi, Jun Yue. 2024-04-23. On independent domination and packing numbers of subcubic graphs. https://arxiv.org/abs/2401.04617

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