Result: Weakly-sparse and strongly flip-flat classes of graphs are uniformly almost-wide

Title:
Weakly-sparse and strongly flip-flat classes of graphs are uniformly almost-wide
Authors:
Ghasemi, Fatemeh, Grange, Julien, Kanté, Mamadou Moustapha, Madelaine, Florent
Contributors:
Kanté, Mamadou
Publisher Information:
2026.
Publication Year:
2026
Subject Terms:
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], Almost-wide, Flip-flatness
Document Type:
Conference Conference object
Language:
English
Access URL:
https://hal.science/hal-05332862v1
Accession Number:
edsair.od.....10692..e1698d1176ab9ab84338e527e0efde93
Database:
OpenAIRE

Further Information

In this work we take a step towards characterising strongly flip-flat classes of graphs. Strong flip-flatness appears to be the analogue of uniform almost-wideness in the setting of dense classes of graphs. We prove that strongly flip-flat classes of graphs that are weakly sparse are indeed uniformly almost-wide.