Some new perfect one-factorizations from starters in finite fields

Some new perfect one-factorizations from starters in finite fields
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来自有限域初学者的一些新的完美一因式分解

DOI:
10.1002/jgt.3190130404
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发表时间:
1989
期刊:
J. Graph Theory
影响因子:
--
通讯作者:
Douglas R Stinson
Douglas R Stinson
中科院分区:
--
文献类型:
--
作者:
J. Dinitz;Douglas R Stinson

文献摘要

被引文献

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我们在完全图K126、K170、K730、K1370、K1850、K2198和K3126中构造了7个新的完全一因子分解的例子。它们是由有限域中的两个和四个商启动子生成的。我们还发现了几个例子,完美的一因子分解,不同构到以前已知的例子。
We construct seven new examples of perfect one-factorizations, in the complete graphs K126, K170, K730, K1370, K1850, K2198, and K3126. These are generated by two- and four-quotient starters in finite fields. We also find several examples of perfect one-factorizations that are not isomorphic to previously known examples.