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'''Kuratowski's theorem''' --- теорема Куратовского. | '''Kuratowski's theorem''' --- [[теорема Куратовского]]. | ||
'''Theorem'''. A graph <math>G</math> is planar iff it does not contain a | '''Theorem'''. A graph <math>G</math> is planar iff it does not contain a ''subdivision'' of <math>K_{5}</math> and <math>K_{3,3}</math>, i.e. iff it does not contain the ''minors'' <math>K_{5}</math> and <math>K_{3,3}</math>. | ||
''subdivision'' of <math>K_{5}</math> and <math>K_{3,3}</math>, i.e. iff it does not | |||
contain the ''minors'' <math>K_{5}</math> and <math>K_{3,3}</math>. | |||
The other name is '''Pontrjagin-Kuratowski's theorem'''. | The other name is '''[[Pontrjagin-Kuratowski's theorem|''Pontrjagin-Kuratowski's theorem'']]'''. |