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发表于 2025-3-21 16:11:27 | 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 19991st edition
版次1
doihttps://doi.org/10.1007/978-3-662-03822-2
isbn_ebook978-3-662-03822-2Series ISSN 1431-1550
issn_series 1431-1550
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发表于 2025-3-21 22:50:03 | 显示全部楼层
发表于 2025-3-22 03:17:43 | 显示全部楼层
https://doi.org/10.1057/9780230509726methods used in a very large area of mathematics; we can only achieve this (without exceeding the limits of this book) by omitting the details of programming techniques. Readers interested in concrete programs are referred to Syslo, Deo and Kowalik (1983) and Nijenhuis and Wilf (1978), where program
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发表于 2025-3-22 10:41:56 | 显示全部楼层
https://doi.org/10.1057/9780230509726 is easy to verify for any given graph. But how can we find an Euler tour in an Eulerian graph? The proof of Theorem 1.3.1 only shows that such a tour exists, but does not tell us how to find it (though it contains a hint of how to achieve this). We are looking for a method for constructing an Euler
发表于 2025-3-22 13:15:48 | 显示全部楼层
Zhaoyuan Tian,Shuxian Ye,Hang Qiangerman motorways in the official guide ‘Autobahn Service’, the railroad or bus lines in some system of public transportation, or the network of routes an airline offers are represented as graphs without anybody being aware of it. Thus, it is obviously of great practical interest to study paths in su
发表于 2025-3-22 17:28:44 | 显示全部楼层
https://doi.org/10.1007/978-1-4039-1402-6etermining the number of trees on . vertices and, more generally, the number of spanning trees in a connected graph. The main part of this chapter is devoted to problems of the following kind: In some given network, we look for a spanning tree for which the sum of all lengths of edges is minimal. Th
发表于 2025-3-23 00:33:53 | 显示全部楼层
https://doi.org/10.1007/978-3-8350-9108-5on ‘independence systems’ (as, for example, in the case of the Algorithm of Kruskal, the system of spanning forests of a graph). However, the strategy used is rather short-sighted: we always choose the element which seems best at the moment (that is, of all the admissible elements, we choose the ele
发表于 2025-3-23 03:08:18 | 显示全部楼层
发表于 2025-3-23 06:27:28 | 显示全部楼层
https://doi.org/10.1057/9781137010452rsal Theory can be developed from the theory of flows on networks; this approach was first suggested in the book by Ford and Fulkerson (1962) and is also used in the survey by Jungnickel (1986). Compared with the usual approach of taking the Marriage Theorem of Hall (1935) — which we treat in Sectio
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