antidepressant 发表于 2025-3-23 12:21:43

Recall that an . graph is one that contains no cycles. A connected acyclic graph is called a .. The trees on six vertices are shown in Figure 4.1. According to these definitions, each component of an acyclic graph is a tree. For this reason, acyclic graphs are usually called ..

dissolution 发表于 2025-3-23 16:05:47

https://doi.org/10.1007/978-981-13-2143-6In Chapter 3, we introduced the notion of a cut edge and discussed various properties of connected graphs without cut edges. Here, we consider the analogous notion for vertices. There are, in fact, two closely related notions, that of a cut vertex and that of a separating vertex.

阴郁 发表于 2025-3-23 20:58:00

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Occlusion 发表于 2025-3-23 22:11:51

https://doi.org/10.1007/978-3-540-48630-5In Chapter 14 we studied vertex colourings of graphs. We now turn our attention to the analogous concept of edge colouring.

苦恼 发表于 2025-3-24 04:45:23

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决定性 发表于 2025-3-24 07:48:42

Nonseparable Graphs,In Chapter 3, we introduced the notion of a cut edge and discussed various properties of connected graphs without cut edges. Here, we consider the analogous notion for vertices. There are, in fact, two closely related notions, that of a cut vertex and that of a separating vertex.

gospel 发表于 2025-3-24 12:09:04

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neolith 发表于 2025-3-24 17:16:31

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任命 发表于 2025-3-24 19:13:00

Hamilton Cycles,icks pins in any five consecutive vertices and the other is required to complete the path so formed to a spanning cycle (see Biggs et al. (1986) or Hamilton (1931)). Hamilton was prompted to consider such cycles in his early investigations into group theory, the three edges incident to a vertex corresponding to three generators of a group.

注入 发表于 2025-3-25 02:55:23

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