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About: Planar separator theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatTheoremsInGraphTheoryyago:Abstraction100002137yago:Communication100033020yago:Graph107000195yago:Message106598915yago:Proposition106750804yago:Statement106722453yago:Theorem106752293yago:VisualCommunication106873252yago:WikicatPlanarGraphs New Facet based on Instances of this Class

In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split into smaller pieces by removing a small number of vertices. Specifically, the removal of vertices from an n-vertex graph (where the O invokes big O notation) can partition the graph into disjoint subgraphs each of which has at most vertices.