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Kevin Hendrey, David R · 2025 · arXiv 2511.22196

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math.CO 1

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2026 1

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CONDITIONAL 1

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Tree-partitions and small-spread tree-decompositions

math.CO · 2026-04-07 · conditional · novelty 7.0

Every graph of treewidth k and max degree Δ has a tree-partition of width O(kΔ) whose underlying tree has max degree O(Δ) and O(n/kΔ) vertices; domino treewidth is Θ(kΔ²) and a related spread-k bound is tight.

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  • Tree-partitions and small-spread tree-decompositions math.CO · 2026-04-07 · conditional · none · ref 43

    Every graph of treewidth k and max degree Δ has a tree-partition of width O(kΔ) whose underlying tree has max degree O(Δ) and O(n/kΔ) vertices; domino treewidth is Θ(kΔ²) and a related spread-k bound is tight.