Bridge

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Bridgeмост.

1. A bridge of a cycle [math]\displaystyle{ C }[/math] is the shortest path in [math]\displaystyle{ C }[/math] joining nonconsecutive vertices of [math]\displaystyle{ C }[/math] which is shorter than both of the edges of [math]\displaystyle{ C }[/math] joining those vertices. Thus a chord is a bridge of length 1, and a graph is bridged iff every cycle of length at least 4 has a bridge.

2. A bridge of [math]\displaystyle{ G }[/math] is an edge whose removal disconnects [math]\displaystyle{ G }[/math].

Литература

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