Bicritical graph

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Bicritical graphбикритический граф.

A finite, undirected, connected and simple graph [math]\displaystyle{ \,G }[/math] is said to be bicritical if [math]\displaystyle{ \,G - u - v }[/math] has a perfect matching for each pair of vertices [math]\displaystyle{ u }[/math] and [math]\displaystyle{ v }[/math] in [math]\displaystyle{ \,G }[/math] such that [math]\displaystyle{ u \neq v }[/math].

Bicritical graphs play a central role in the decomposition theory of graphs in terms of their maximum matchings.

Литература

  • Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.