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

Fuente: arXiv
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Autor principal: Jacob, Hugo
Formato: Preprint
Publicado: 2025
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author Jacob, Hugo
author_facet Jacob, Hugo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12857
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on distance-hereditary graphs whose complement is also distance-hereditary
Jacob, Hugo
Combinatorics
Discrete Mathematics
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.
title A note on distance-hereditary graphs whose complement is also distance-hereditary
topic Combinatorics
Discrete Mathematics
url https://arxiv.org/abs/2504.12857