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Maximal outerplanar graphs are outerplanar

Lax68.MaximalOuterplanarOuterplanar · concepts/Lax68/MaximalOuterplanarOuterplanar.lean · lax-68

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    Natural Language Statement

    Theorem

    Every maximal outerplanar graph is outerplanar.

    Concept map
    5 concepts
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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

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    Lean source view on GitHub

    1import Lax68.MaximalOuterplanar
    2import Lax68.Outerplanar
    3
    4/-!
    5---
    6title: Maximal outerplanar graphs are outerplanar
    7type: theorem
    8---
    9Every maximal outerplanar graph is outerplanar.
    10-/
    11
    12set_option autoImplicit false
    13
    14namespace Lax68.MaximalOuterplanarOuterplanar
    15
    16/-- Every maximal outerplanar graph is outerplanar. -/
    17axiom maximalOuterplanar_outerplanar {V : Type*} {G : SimpleGraph V} :
    18 Lax68.MaximalOuterplanar.IsMaximalOuterplanar G →
    19 Lax68.Outerplanar.IsOuterplanar G
    20
    21end Lax68.MaximalOuterplanarOuterplanar
    22
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