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For a given graph, '''1-factor''' is 1-regular spanning subgraph. The '''1-factor''' is often referred to as ''perfect matching''. The existence of
For a given graph, '''1-factor''' is 1-regular spanning subgraph. The '''1-factor''' is often referred to as ''perfect matching''. The existence of
perfect matchings in bipartite graphs is a subject of the celebrated
perfect matchings in bipartite graphs is a subject of the celebrated
K\"{o}nig-Hall theorem.  
Kőnig-Hall theorem.  
==See also==
==See also==
*''<math>k</math>-Factor''.
*''<math>k</math>-Factor''.

Версия от 12:04, 1 марта 2018

1-Factor --- 1-фактор. For a given graph, 1-factor is 1-regular spanning subgraph. The 1-factor is often referred to as perfect matching. The existence of perfect matchings in bipartite graphs is a subject of the celebrated Kőnig-Hall theorem.

See also

  • [math]\displaystyle{ k }[/math]-Factor.