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：
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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.
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