Balanced circuit

Balanced circuit --- сбалансированный цикл.

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