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math.CO2025
Canonical tree-decompositions of chordal graphs
Raphael W. Jacobs, Paul Knappe
We show that a locally finite, connected graph is -locally chordal (that is, its -balls are chordal) if and only if the unique canonical graph-decomposition $\mathcal{H…
math.CO2025
Canonical graph decompositions via local separations
Raphael W. Jacobs, Paul Knappe, Jan Kurkofka
Every finite graph can be decomposed in a canonical way that displays its local connectivity-structure [DJKK26]. These decompositions are defined via a suitable more tree-like…