ON LARGE SETS OF PAIRWISE DISJOINT TRANSITIVE TRIPLE SYSTEMS  被引量:1

ON LARGE SETS OF PAIRWISE DISJOINT TRANSITIVE TRIPLE SYSTEMS

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作  者:常彦勋 康庆德 

机构地区:[1]Institute of Mathematics, Hebei Normal College, Shijiazhuang, 050091, PRC

出  处:《Chinese Science Bulletin》1992年第2期171-171,共1页

摘  要:Let X be a set of v elements (v≥3). A transitive triple from X is a collection of three ordered pairs (x, y), (y, z)and (x, z), where x, y and z are distinct dements of X. It is denoted by (x, y, z). A transitive triple system on X is a pair (X, B), where B is a collection of transitive triples from X such that each ordered pair of distinct elements of X belongs to exactly one transitive triple of B. The system is denoted by TTS(v). It is well known that the spectrum for TTS(v)is the set of all v≡0, 1 (mod 3).

关 键 词:TRIPLE collection belongs EXACTLY ORDERED DISJOINT struction stence LETTER 

分 类 号:N[自然科学总论]

 

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