Two questions concerning covering systems

Two questions concerning covering systems
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关于覆盖系统的两个问题

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
J. Harrington
J. Harrington
中科院分区:
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文献类型:
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作者:
J. Harrington

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自从Erdős在1950年引入覆盖系统的概念以来,关于某些类型的覆盖系统的存在产生了许多问题。关于覆盖系统的两个最著名的问题是奇覆盖问题和最小模问题。在本文中,我们提出了两个与这些著名问题相关的问题,并给出了每个问题的结果。
Ever since Erdős introduced the concept of a covering system in 1950, many questions have arisen regarding the existence of certain types of covering systems. Two of the most famous questions regarding covering systems are the odd covering problem and the minimum modulus problem. In the current paper, we ask two questions that are related to these famous questions and provide results for each.