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9 results on '"Yuan, Landang"'

5. Large sets and overlarge sets of triple systems

Author

Yuan LanDang and Kang QingDe

Subjects
Discrete mathematics, Development (topology), Combinatorial design, Steiner system, General Mathematics, Long period, Related research, Large set (combinatorics), Algorithm, Mathematics
Abstract

The large set problem in the combinatorial design theory has a long history and important applications. The related research work had been quite slow in making progress for a long period of time due to its sophistication. Being benefited and motivated by some new methodology the research in the large set problem has taken on a promising posture in recent thirty years. In this paper, we give a comprehensive summary about the development of large sets and overlarge sets for some types of classical triple systems. In addition, we obtain new results that there exist an ${\rm OLKTS}(2\cdot13^n+1)$ and an ${\rm OLRMTS}(3\cdot5^n)$, where $n\geq0$.

Published
2017

8. The Spectrum Meta( H > T, λ) for Some Subgraphs H and T of K.

Author

Yuan, Landang, Zhang, Yanli, Hou, Yingtao, and Kang, Qingde

Subjects
SUBGRAPHS, SET theory, INTEGERS, MATHEMATICAL sequences, EXISTENCE theorems, MATHEMATICAL models
Abstract

Let Meta( H > T, λ) denote the set of all integers v such that there exists a ( H > T)- GM ( v). In this paper, the set Meta( H > T, λ) will be completely determined for the following 21 pairs ( H, T) = ( H, P), ( H, 2 P), ( H, P) and ( H, P), where $${P_2 \subset H_1 \subseteq K_4, H_2 \in \{K_4, C_4, K_3+e, P_4\} = {\mathcal {H}}, H_3 \in {\mathcal {H}} \cup \{K_3, K_{1,3} \}}$$ and $${H_4 \in \{K_4, C_4\}}$$ . [ABSTRACT FROM AUTHOR]

Published
2014
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