Planar Separator Theorem

Planar Separator Theorem

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 O vertices from an n-vertex graph can partition the graph into disjoint subgraphs each of which has at most 2n/3 vertices. A weaker form of the separator theorem with O vertices in the separator instead of O was originally proven by Ungar, and the form with the tight asymptotic bound on the separator size was first proven by Lipton & Tarjan.show more

Product details

  • Paperback | 84 pages
  • 152 x 229 x 5mm | 136g
  • Soph Press
  • United States
  • English
  • black & white illustrations
  • 6136276283
  • 9786136276281