期刊论文详细信息
Electronic Journal Of Combinatorics
Planar Graphs have Independence Ratio at least 3/13
Daniel W. Cranston1 
关键词: Independent sets;    Planar graphs;   
DOI  :  
学科分类:离散数学和组合数学
来源: Electronic Journal Of Combinatorics
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【 摘 要 】

The 4 Color Theorem (4CT) implies that every $n$-vertex planar graph has an independent set of size at least $\frac{n}4$; this is best possible, as shown by the disjoint union of many copies of $K_4$.  In 1968, Erdős asked whether this bound on independen

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