Planar Graphs have Independence Ratio at least 3/13

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Planar Graphs have Independence Ratio at least 3/13

The 4 Color Theorem (4CT) implies that every n-vertex planar graph has an independent set of size at least n4 ; this is best possible, as shown by the disjoint union of many copies of K4. In 1968, Erdős asked whether this bound on independence number could be proved more easily than the full 4CT. In 1976 Albertson showed (independently of the 4CT) that every n-vertex planar graph has an indepen...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2016

ISSN: 1077-8926

DOI: 10.37236/5309