两点渡线的转接组

Q3 Mathematics

Art of Discrete and Applied Mathematics Pub Date : 2020-09-22 DOI:10.26493/2590-9770.1356.D19

M. Changat, Prasanth G. Narasimha-Shenoi, Ferdoos Hossein Nezhad, M. Kovse, S. Mohandas, Abisha Ramachandran, P. Stadler

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引用次数: 1

摘要

遗传算法通常对双亲调用交叉算子。凌日集Rk（x，y）包含此形式的所有子群，它形成了一个具有Vapnik Chervonenkis维数k+1的一致定向拟阵的顶集。因此，有向拟阵的拓扑表示定理意味着用伪球面排列来表示。这使得详细研究两点交叉成为可能，并表征由两点交叉的渡越集定义的部分立方体。

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Transit sets of two-point crossover

Genetic Algorithms typically invoke crossover operators to two parents. The transit set R k ( x, y ) comprises all offsprings of this form. It forms the tope set of an uniform oriented matroid with Vapnik-Chervonenkis dimension k + 1 . The Topological Representation Theorem for oriented matroids thus implies a representation in terms of pseudosphere arrangements. This makes it possible to study 2 -point crossover in detail and to characterize the partial cubes deﬁned by the transit sets of two-point crossover.

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来源期刊

Art of Discrete and Applied Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.90

自引率

0.00%

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