Complement graph: Difference between revisions

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Formal construction: simpler heading
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| page = 6}}.</ref> It is not, however, the [[complement (set theory)|set complement]] of the graph; only the edges are complemented.
 
==Definition==
==Formal construction==
Let {{math|1=''G''&nbsp;=&nbsp;(''V'',&nbsp;''E'')}} be a [[simple graph]] and let {{mvar|K}} consist of all 2-element subsets of {{mvar|V}}. Then {{math|1=''H''&nbsp;=&nbsp;(''V'',&nbsp;''K''&nbsp;\&nbsp;''E'')}} is the complement of {{mvar|G}}.<ref>{{Citation
| last=Diestel | first=Reinhard