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arXiv · 2504.12857

A note on distance-hereditary graphs whose complement is also distance-hereditary

Hugo Jacob
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Abstract

Distance-hereditary graphs are known to be the graphs that are totally decomposable for the split decomposition. We characterise distance-hereditary graphs whose complement is also distance-hereditary by their split decomposition and by their modular decomposition.

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Hugo Jacob. 2026-04-10. A note on distance-hereditary graphs whose complement is also distance-hereditary. https://doi.org/10.1016/j.dam.2026.04.004

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