Combinatorial dual graph, combinatorically dual graph

Combinatorial dual graph, combinatorically dual graph — комбинаторно двойственный граф.

A graph [math]\displaystyle{ \,G }[/math] is a combinatorial dual graph to a graph [math]\displaystyle{ \,G^{\ast} }[/math], if there exists a one-to-one mapping [math]\displaystyle{ \,e: E(G) \rightarrow E(G^{\ast}) }[/math] of the edge set of [math]\displaystyle{ \,G }[/math] onto the edge set of [math]\displaystyle{ \,G^{\ast} }[/math] such that [math]\displaystyle{ \,C }[/math] is a circuit of [math]\displaystyle{ \,G }[/math] if and only if [math]\displaystyle{ \,e(C) }[/math] is a cocircuit of [math]\displaystyle{ \,G^{\ast} }[/math].

Литература

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