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期刊论文
existence of steiner quadruple systems with an almost spanning block design
discrete mathematics，2020，343（6）：111708 | 2020年06月01日 | https://doi.org/10.1016/j.disc.2019.111708
a steiner quadruple system of order v (sqs(v)) is said to be have an almost spanning block design and denoted by 1-afsqs(v) if it contains a subdesign s(2,4,v−1). in 1992, hartman and phelps posed a problem: show that there exists a 1-afsqs(v) for each v≡2(mod12). in this paper, we prove that the necessary condition for the existence of a 1-afsqs(v) is also sufficient with a definite exception v=14 and possible exceptions v∈{86,206,374,398}.
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