Abstract
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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The authors are grateful to the referees for their careful reading of the original version of this paper, their detailed comments and the suggestions that much improved the quality of this paper.
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Research supported by the National Natural Science Foundation of China under Grant No. 11671402.
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Dong, X., Wang, J. Frames and Doubly Resolvable Group Divisible Designs with Block Size Three and Index Two. Graphs and Combinatorics 39, 109 (2023). https://doi.org/10.1007/s00373-023-02681-5
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DOI: https://doi.org/10.1007/s00373-023-02681-5