寻找楔形简单复合体特征映射的算法策略

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2021-11-14 DOI:10.2140/pjm.2022.320.13

Suyoung Choi, Mathieu Vall'ee

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引用次数: 3

摘要

Choi和Park引入了谜题方法，将其作为在从给定的单纯复形K获得的楔形单纯复形K（J）上确定非奇异特征映射的有效方法。我们进一步研究了拼图方法的mod 2情况。我们首先用线性代数语言对其进行了完整的描述，这使我们能够开发出一种构造性的谜题算法。我们还分析了我们的算法，并将其性能与包括Garrison和Scott算法在内的其他已知算法进行了比较。

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An algorithmic strategy for finding characteristic maps over wedged simplicial complexes

. The puzzle method was introduced by Choi and Park as an eﬀective method for ﬁnding non-singular characteristic maps over wedged simplicial complexes K ( J ) obtained from a given simplicial complex K . We study further the mod 2 case of the puzzle method. We ﬁrstly describe it completely in terms of linear algebraic language which allows us to develop a constructive puzzle algorithm. We also analyze our algorithm and compare its performances with other known algorithms including the Garrison and Scott algorithm.

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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.