This paper is a sequel of our previous paper (N. Kita: Bipartite graft {II}: Cathedral decomposition for combs. arXiv preprint arXiv:2101.06678, 2021). In our previous paper, a graft analogue of the Dulmage-Mendelsohn decomposition has been introduced for comb bipartite grafts. In this paper, we prove how this result can be extended for general bipartite grafts.

中文翻译：

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二分移植物 III：一般情况

这篇论文是我们之前论文（N. Kita：Bipartiteraft {II}：Cathedralresolution forcombs. arXiv preprint arXiv:2101.06678, 2021）的续篇。在我们之前的论文中，已经为梳状二分接枝引入了 Dulmage-Mendelsohn 分解的接枝类似物。在本文中，我们证明了如何将这一结果扩展到一般的二分移植。