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楼主: 叶子
发表于 2025-3-23 11:56:22 | 显示全部楼层
https://doi.org/10.1007/978-3-663-02704-1p all its vertices in this way? If not, how can we be sure that this is indeed impossible? Somewhat surprisingly, this basic problem does not only lie at the heart of numerous applications, it also gives rise to some rather interesting graph theory.
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https://doi.org/10.1007/978-3-662-68804-5eorems that mathematics has to offer: .. This ., inconspicuous though it may look at first glance, has made a fundamental impact both outside graph theory and within. Its proof, due to Neil Robertson and Paul Seymour, takes well over 500 pages.
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Connectivity, all it says is that we need at least . vertices to disconnect it. The following definition—which, incidentally, implies the one above—might have been more descriptive: ‘a graph is . if any two of its vertices can be joined by . independent paths’.
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