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Titlebook: Degeneracy Graphs and the Neighbourhood Problem; H.-J. Kruse Book 1986 Springer-Verlag Berlin Heidelberg 1986 algorithms.graph theory.line

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https://doi.org/10.1007/978-3-662-30016-9vertices of a degenerate vertex of a convex polytope .. In the above paper the structure of these special graphs (or subgraphs) is for the first time considered to be a theoretical object of investigation.
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Introduction,he computational effort substantially depends upon the number and the individual degeneracy degree of the degenerate vertices which are (must be) determined with the help of such techniques. Therefore efficiency losses due to degeneracy have to be taken into account, especially in using pivoting met
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Book 1986hat 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
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The Concept of Degeneracy, at least one vertex. Denote by X the solution set of the canonical form of (2.1).. Each basis B of the enlarged matrix P =(AüI) is also called a basis of (2.1) or of the canonical form. Tab. 2.1 shows the pivot tableau which is uniquely assigned to a basis B (and vice versa)..
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Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/d/image/264859.jpg
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