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发表于 2025-3-21 17:27:01 | 显示全部楼层 |阅读模式
书目名称Graphs, Networks and Algorithms
编辑Dieter Jungnickel
视频video
丛书名称Algorithms and Computation in Mathematics
图书封面Titlebook: ;
出版日期Textbook 20083rd edition
版次3
doihttps://doi.org/10.1007/978-3-540-72780-4
isbn_softcover978-3-642-09186-5
isbn_ebook978-3-540-72780-4Series ISSN 1431-1550
issn_series 1431-1550
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发表于 2025-3-21 23:27:29 | 显示全部楼层
https://doi.org/10.1007/978-3-322-99954-2Graph theory began in 1736 when Leonhard Euler (1707–1783) solved the wellknown . [Eul36]. This problem asked for a circular walk through the town of Königsberg (now Kaliningrad) in such a way as to cross over each of the seven bridges spanning the river Pregel once, and only once; see Figure 1.1 for a rough sketch of the situation.
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发表于 2025-3-22 05:31:11 | 显示全部楼层
Basic Graph Theory,Graph theory began in 1736 when Leonhard Euler (1707–1783) solved the wellknown . [Eul36]. This problem asked for a circular walk through the town of Königsberg (now Kaliningrad) in such a way as to cross over each of the seven bridges spanning the river Pregel once, and only once; see Figure 1.1 for a rough sketch of the situation.
发表于 2025-3-22 12:14:34 | 显示全部楼层
Matchings,This chapter is devoted to the problem of finding maximal matchings in arbitrary graphs; the bipartite case was treated in Section 7.2. In contrast to the bipartite case, it is not at all easy to reduce the general case to a flow problem. However, we will see that the notion of an augmenting path can be modified appropriately.
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发表于 2025-3-23 05:56:18 | 显示全部楼层
https://doi.org/10.1007/978-3-658-22579-7ization, the so-called ., it indeed leads to optimal solutions. Actually, matroids may be characterized by the fact that the greedy algorithm works for them, but there are other possible definitions.We will look at various other characterizations of matroids and also consider the notion of matroid duality.
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