no code implementations • 2 Aug 2020 • Konrad K. Dabrowski, François Dross, Jisu Jeong, Mamadou Moustapha Kanté, O-joung Kwon, Sang-il Oum, Daniël Paulusma
We are also able to give partial confirmation of this conjecture by proving: (1) for every tree $T$, the class of $T$-pivot-minor-free distance-hereditary graphs has bounded linear rank-width if and only if $T$ is a caterpillar; (2) for every caterpillar $T$ on at most four vertices, the class of $T$-pivot-minor-free graphs has bounded linear rank-width.
Combinatorics Discrete Mathematics