Frames and Doubly Resolvable Group Divisible Designs with Block Size Three and Index Two

被引：0

作者：

Xiaoyuan Dong

Jinhua Wang

机构：

[1] Nantong Normal College,Department of Primary Education

[2] Nantong University,School of Sciences

来源：

Graphs and Combinatorics | 2023年 / 39卷

关键词：

Doubly resolvable group divisible design; Frame; Starter-adder; 05B05; 05B15; 05B30; 94B25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we use the intransitive starter-adder method and the standard starter-adder method to construct some new frames and doubly resolvable group divisible designs. Some infinite classes of frames and doubly resolvable group divisible designs are obtained by recursive constructions. On this basis, we almost establish the existence of frames and doubly resolvable group divisible designs with block size three and index two.

引用

共 51 条

[31]

Du J(undefined)Doubly resolvable designs undefined undefined undefined-undefined

[32]

Abel RJR(undefined)Constructions and uses of pairwise balanced designs undefined undefined undefined-undefined

[33]

Wang J(undefined)undefined undefined undefined undefined-undefined

[34]

Etzion T(undefined)undefined undefined undefined undefined-undefined

[35]