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

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Bibliographic Details
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
Description:	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.
Document Type:	Conference object
Language:	English
Access URL:	https://hal.science/hal-05332862v1
Accession Number:	edsair.od.....10692..e1698d1176ab9ab84338e527e0efde93
Database:	OpenAIRE

Description
Abstract:	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.