Existence of subgraph with orthogonal (g,f)-factorization

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简单的图被考虑。让 G 是珍视整数的功能为 everyxV (G) 在 V (G) withg (x) f (x) 上定义的图 andg (x) andf (x) 。为 subgraphH ofG 和 factorizationF=|F 1, F 2,, F 1 |ofG | E (H) E (F 1 )|=1,1ij,那么,我们说 thatF 直角的 toH。它被证明那为一( mg (x) +k ,在那里的 mf (x)-k)-graphG,存在 subgraphR ofG 以便为有| E (H)|
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