Packing Rates Of Measures And A Conjecture For The Packing Density Of 2413

Packing Rates Of Measures And A Conjecture For The Packing Density Of 2413
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2413堆积率的措施及堆积密度的推测

DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
W. Stromquist
W. Stromquist
中科院分区：
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文献类型：
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作者：
Cathleen Battiste Presutti;W. Stromquist

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我们给出了0.10472422757673209041的新下限，用于2413的包装密度，通过构造证明其合理，并且该值实际上等于我们在途中定义置换率的填料率。并证明在所有措施中最大化模式的填料率可以使图案的填料密度在本文中。很重要，因为它不是分层的，并且由于图1。该概念基于此度量，μ2
We give a new lower bound of 0.10472422757673209041 for the packing density of 2413, justify it by a construction, and conjecture that this value is actually equal to the packing density. Along the way we define the packing rate of a permutation with respect to a measure, and show that maximizing the packing rate of a pattern over all measures gives the packing density of the pattern. In this paper we consider the packing density of the pattern 2413. This pattern is significant because it is not layered, and because up to Fig. 1. The conjecture is based on this measure, μ2