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arXiv · 2512.13457

Displaying prescribed sets of ends by linked tree-decompositions

Sandra Albrechtsen·Max Pitz·Roman Schaut
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Abstract

We show that if a subset $Ψ$ of the ends of a graph $G$ can be displayed by a tree-decomposition of finite adhesion, then it can also be displayed by a linked such tree-decomposition. This tree-decomposition captures all combinatorial information of the ends in $Ψ$: their degrees, their sets of dominating vertices, and their combined degrees.

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Sandra Albrechtsen, Max Pitz, Roman Schaut. 2025-12-15. Displaying prescribed sets of ends by linked tree-decompositions. https://arxiv.org/abs/2512.13457

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