Lax Lean Archive

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Lax68.SeriesParallelPlanar

Series-parallel graphs are planar

concepts/Lax68/SeriesParallelPlanar.lean · lax-68

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    Theorem

    Every series-parallel graph is planar.

    Lean source view on GitHub

    1import Lax68.SeriesParallel
    2import Lax68.Planar
    3
    4/-!
    5---
    6title: Series-parallel graphs are planar
    7type: theorem
    8---
    9Every series-parallel graph is planar.
    10-/
    11
    12set_option autoImplicit false
    13
    14namespace Lax68.SeriesParallelPlanar
    15
    16axiom seriesParallel_planar {V : Type*} {G : SimpleGraph V} :
    17 Lax68.SeriesParallel.IsSeriesParallel G →
    18 Lax68.Planar.IsPlanar G
    19
    20end Lax68.SeriesParallelPlanar
    21

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