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Existence of a Class of IncompleteHanani Triple Systems(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2015年04期
Page:
65-
Research Field:
数学
Publishing date:

Info

Title:
Existence of a Class of IncompleteHanani Triple Systems
Author(s):
Wang Rongrong; Shan Jinxin; Wang Chengmin
School of Science，Jiangnan University，Wuxi 214122，China
Keywords:
Hanani triple systems; incomplete; embedding; group divisible designs
PACS:
O157.2
DOI:
-
Abstract:
Let v≡1 mod 6. A Hanani triple system of order v（HATS（v））is an STS（v）satisfying that all the blocks can be partitioned into（v-1）/2 partial parallel classes of size（v-1）/3 and one partial parallel class of size（v-1）/6. A HATS is regarded as a generalization of Kirkman triple system. In this paper，we consider the embeddings of HATS and establish completely the existence of IHATS（v，7）.

References:

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Memo

Memo:
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Last Update: 2015-12-30