Balanced circuit: различия между версиями

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'''Balanced circuit''' --- сбалансированный цикл.  
'''Balanced circuit''' — ''[[сбалансированный цикл]].''


A '''balanced circuit''' in a hypergraph is a circuit <math>(x_{1}, E_{1}, \ldots,
A '''balanced circuit''' in a [[hypergraph]] is a [[circuit]] <math>(x_{1}, E_{1}, \ldots,
x_{k}, E_{k})</math> such that either <math>k = 2</math> or there is an incidence
x_{k}, E_{k})</math> such that either <math>\,k = 2</math> or there is an incidence
<math>x_{i} \in E_{j}</math>, where <math>j \neq i, i-1</math> and <math>(i,j) \neq (1,k)</math>.
<math>x_{i} \in E_{j}</math>, where <math>j \neq i, i-1</math> and <math>(i,j) \neq (1,k)</math>.

Версия от 12:14, 15 декабря 2011

Balanced circuitсбалансированный цикл.

A balanced circuit in a hypergraph is a circuit [math]\displaystyle{ (x_{1}, E_{1}, \ldots, x_{k}, E_{k}) }[/math] such that either [math]\displaystyle{ \,k = 2 }[/math] or there is an incidence [math]\displaystyle{ x_{i} \in E_{j} }[/math], where [math]\displaystyle{ j \neq i, i-1 }[/math] and [math]\displaystyle{ (i,j) \neq (1,k) }[/math].