Principal Möbius function values for permutations under classic pattern containment
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https://ordo.open.ac.uk/articles/Principal_M_bius_function_values_for_permutations_under_classic_pattern_containment/7171997
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资源简介:
These files have the value of the principal Möbius function \mu[1, \pi] for all canonical permutations with length 12 or less.<br>A permutation is canonical if, amongst the symmetries of the permutation, it has smallest lexicographic order.<br>Each line contains the permutation, the number of symmetries, and the value of the principal Möbius function, separated by semi-colons. For example,<br>{1,3,2} ; 4 ; -1<br>tells us that the permutation 132 has four symmetries, and that the value of the principal Möbius function is -1.<br><br><br><br>
本数据集文件包含所有长度不超过12的规范置换(canonical permutation)对应的主默比乌斯函数(principal Möbius function)μ[1, π]的取值。
若一个置换在其所有对称变换中具有最小字典序,则该置换为规范置换。
每行内容以分号分隔,依次包含置换、对称变换的数量以及主默比乌斯函数的取值。例如:
{1,3,2} ; 4 ; -1
该示例表明,置换132存在4个对称变换,其对应的主默比乌斯函数取值为-1。
提供机构:
The Open University
创建时间:
2018-10-05



