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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Existence of Simple Incomplete Triple Systems with Small Index

Shanhai Li 1, Jun Ma2
1School of Mathematics and Quantitative Economics , Shandong University of Finance and Economics, Jinan Shandong 250014 China
2Department of Mathematics, Shanghai JiaoTong University Shanghai 200240 China
  • Published: 28/02/2014

Abstract

In this paper, we determine the necessary and sufficient conditions for the existence of simple incomplete triple systems for all \( \lambda \leq 6 \).

Keywords: incomplete triple system, simple, embedding, differ- ence triple. Mathematics Subject Classification (2010): 05B07
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Citation
Shanhai Li , Jun Ma. Existence of Simple Incomplete Triple Systems with Small Index[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 088. 213-224. DOI: .