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Separating Geometric Thickness from Book Thickness

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arxiv math/0109195 v1 pith:DFB3AYVW submitted 2001-09-24 math.CO cs.CGcs.DM

Separating Geometric Thickness from Book Thickness

classification math.CO cs.CGcs.DM
keywords thicknessbookgeometricasymptoticallyequivalenteveryexistsgraph
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that geometric thickness and book thickness are not asymptotically equivalent: for every t, there exists a graph with geometric thickness two and book thickness >= t.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Weighted Book Thickness

    cs.CG 2026-07 accept novelty 7.0

    Weighted book thickness can require strictly more pages than classical book thickness, already for a 10-vertex planar graph and for a 2-tree, but equals the 2-page value for all pathwidth-2 graphs.