Coarse geometry of the fire retaining property and group splittings

DOI10.1007/S10711-023-00776-0OpenAlexW2938872545MaRDI QIDQ2685703

Tomasz Prytuła, Eduardo Martínez Pedroza

Publication date: 22 February 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04658

zbMATH Keywords

growthsplittingcoarse geometrygames on graphsquasi-isometry

Mathematics Subject Classification ID

Games involving graphs (91A43) Geometric group theory (20F65) Planar graphs; geometric and topological aspects of graph theory (05C10) Asymptotic properties of groups (20F69) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (1)

Coarse geometry of the cops and robber game

Cites Work

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• The coarse geometry of Hartnell's firefighter problem on infinite graphs
• The firefighter problem on polynomial and intermediate growth groups
• Quasi-isometry invariance of group splittings.
• Fire containment in grids of dimension three and higher
• Splittings and the asymptotic topology of the lamplighter group
• Firefighting on trees and Cayley graphs
• A note on the relation between Hartnell’s firefighter problem and growth of groups

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