For every v ≡ 0 or 1 mod 3 there exists a DTS(v) admitting a v-good sequencing, while for every such v ≥ 7 there also exists a DTS(v) admitting none; small cases are checked computationally.
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Block-avoiding point sequencings of directed triple systems
For every v ≡ 0 or 1 mod 3 there exists a DTS(v) admitting a v-good sequencing, while for every such v ≥ 7 there also exists a DTS(v) admitting none; small cases are checked computationally.