논문KCI 등재
Extended directed triple systems with a given automorphism
대한수학회 (The Korean Mathematical Society)|2004.04|대한수학회논문집 (Communications of the KMS)|제19권 제2호|pp. 355-373
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Abstract
An extended directed triple system of orderv/, denoted by EDTS(v), is a pair (V,frak B) where V isa v-set and frak B is a set of transitive triples ofelements of V such that every ordered pair of elements of V iscontained in exactly one member of frak B. We obtain anecessary and sufficient condition for the existence of cyclicEDTS(v)s, and when k=1 or 2, we also obtain a necessary andsufficient condition for the existence of k-rotationalEDTS(v)s.
참고문헌 (1)
- "M. J. Colbourn and C. J. Colbourn \paper Theanalysis of directed triple systems by refinement \jour Annals ofDiscrete Math. \vol 15 \yr 1982 \pages 97--103"
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