국가지식-학술정보
EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM
EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM
- 대한수학회
- Communications of the Korean Mathematical Society
- Vol.19 No.2
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2004.01355 - 373 (19 pages)
- 0
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An extended directed triple system of order v, denoted by EDTS(v), is a pair (V, (equation omitted)) where V is a v-set and (equation omitted) is a set of transitive triples of elements of V such that every ordered pair of elements of V is contained in exactly one member of (equation omitted). We obtain a necessary and sufficient condition for the existence of cyclic EDTS(v)s, and when k=1 or 2, we also obtain a necessary and sufficient condition for the existence of k-rotational EDTS(v)s.
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