| 书目名称 | Degeneracy Graphs and the Neighbourhood Problem |
| 编辑 | H.-J. Kruse |
| 视频video | |
| 丛书名称 | Lecture Notes in Economics and Mathematical Systems |
| 图书封面 |  |
| 描述 | A few years ago nobody would have anticipated that in connection with degeneracy in Linear Programming quite a new field. could originate. In 1976 a very simple question has been posed: in the case an extreme pOint (EP) of a polytope is degenerate and the task is to find all neighbouring EP‘s of the degenerate EP, is it necessary to determine all basic solutions of the corresponding equalities system associated with the degenerate EP -in order to be certain to determine all neighbours of this EP? This question implied another one: Does there exists a subset of the mentioned set of basic solutions such that it suffices to find such a subset in order to determine all neighbours? The first step to solve these questions (which are motivated in the first Chapter of this book) was to define a graph (called degeneracy graph) the nodes of which correspond to the basic solutions. It turned out that such a graph has some special properties and in order to solve the above questions firstly these properties had to be investigated. Also the structure of degeneracy graphs playes hereby an important role. Because the theory of degeneracy graphs was quite new, it was necessary to elaborate first |
| 出版日期 | Book 1986 |
| 关键词 | algorithms; graph theory; linear optimization; sensitivity analysis |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-49270-9 |
| isbn_softcover | 978-3-540-16049-6 |
| isbn_ebook | 978-3-642-49270-9Series ISSN 0075-8442 Series E-ISSN 2196-9957 |
| issn_series | 0075-8442 |
| copyright | Springer-Verlag Berlin Heidelberg 1986 |
发表于 2025-3-21 16:33:17
