Saved in:
Bibliographic Details
Main Authors: Brignall, Robert, Opler, Michal, Vatter, Vincent
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.22089
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • A hereditary class of graphs has bounded clique-width if and only if its prime members do, but this lifting property fails for linear clique-width. We prove that a hereditary class has bounded linear clique-width if and only if its prime members do and it contains neither all quasi-threshold graphs nor all complements of quasi-threshold graphs. This generalizes a result of Brignall, Korpelainen, and Vatter, who established the result for cographs.