Weightable and Regular Independent System
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摘要: 以多把钥匙问题的一般情形为基础,建立了正则独立系统和可赋权独立系统两种组合结构.给出了3个结论:可赋权独立系统一定是不含矛盾组的独立系统;不含矛盾组的独立系统必然是正则独立系统;某些正则独立系统包含矛盾组.Abstract: Two combinatorial structures of regular and weightable independent systems were established based on the general cases of multi-key problems.It was proved that a weightable independent system does not contain any inconsistent sets,the independent system without inconsistent sets is the regular independent system,and some regular independent systems contain inconsistent sets.
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Key words:
- independent system /
- regularity /
- matroid /
- weight /
- inconsistent set
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