Some Remarks on Dual Pairs of Set Systems
碩士 === 國立交通大學 === 應用數學系 === 91 === Each (0,1)-matrix is associated with a dual pair of set systems naturally. Some classical combinatorial structures including 2-designs, symmetric designs, quasi-symmetric designs are defined within this framework. In terms of union...
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2003
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Online Access: | http://ndltd.ncl.edu.tw/handle/65625976636817849573 |
Summary: | 碩士 === 國立交通大學 === 應用數學系 === 91 === Each (0,1)-matrix is associated with a dual pair of set systems
naturally. Some classical combinatorial structures including
2-designs, symmetric designs, quasi-symmetric designs are defined within this framework. In terms of union or Boolean sums, some conditions were posed over a dual pair of set systems, so that it provides a way for the notion of pooling spaces and the non-adaptive group testing with error-tolerance.
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