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Diestel, Reinhard , TITLE = · 2010 · DOI 10.1007/978-3-642-14279-6

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Obstructions for Minor-Closed Classes of limiting Densities Below 3/2

math.CO · 2026-06-23 · unverdicted · novelty 8.0

For every δ < 3/2 the ⊆-minimal minor-closed classes with density >δ form a finite explicitly identified set, yielding a 2^poly(n)-time algorithm that computes δ(excl(Z)) or reports ≥3/2 for any finite forbidden-minor set Z.

Planar extensions in o-minimal structures

math.GN · 2026-06-02 · unverdicted · novelty 4.0

Necessary and sufficient combinatorial conditions are established for definable homeomorphic extensions of injective maps from closed definable sets of dimension at most 1 in R^2 to the plane.

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  • Obstructions for Minor-Closed Classes of limiting Densities Below 3/2 math.CO · 2026-06-23 · unverdicted · none · ref 6

    For every δ < 3/2 the ⊆-minimal minor-closed classes with density >δ form a finite explicitly identified set, yielding a 2^poly(n)-time algorithm that computes δ(excl(Z)) or reports ≥3/2 for any finite forbidden-minor set Z.

  • Planar extensions in o-minimal structures math.GN · 2026-06-02 · unverdicted · none · ref 29

    Necessary and sufficient combinatorial conditions are established for definable homeomorphic extensions of injective maps from closed definable sets of dimension at most 1 in R^2 to the plane.