Extended directed triple systems

Extended directed triple systems
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DOI:
10.1016/j.disc.2005.12.022
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发表时间:
2006-07
期刊:
Discret. Math.
影响因子:
--
通讯作者:
Wen-Chung Huang
Wen-Chung Huang
中科院分区:
其他
文献类型:
--
作者:
Wen-Chung Huang

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令{n;b2,b1}表示n阶扩展有向三元组,其中[a,b,a]形式的块的数量为b2,[b,a,a]或[a,a,b]形式的块的数量为b1。在本文中,我们证明了类{n;b2,b1}存在的充分必要条件是b1≠1,0⩽b2+b1⩽n并且
Let {n;b2,b1} denote the class of extended directed triple systems of the order n in which the number of blocks of the form [a,b,a] is b2and the number of blocks of the form [b,a,a] or [a,a,b] is b1. In this paper, we have shown that the necessary and sufficient condition for the existence of the class {n;b2,b1} is b1≠1, 0⩽b2+b1⩽n and