A Mendelsohn (directed, or hybrid) triple system of order v, denoted by MTS(v,λ) (DTS(v,λ), or HTS(v,λ)), is a pair (X,B) where X is a v-set and B is a collection of some cyclic (transitive, or cyclic and transitiv...A Mendelsohn (directed, or hybrid) triple system of order v, denoted by MTS(v,λ) (DTS(v,λ), or HTS(v,λ)), is a pair (X,B) where X is a v-set and B is a collection of some cyclic (transitive, or cyclic and transitive) triples on X such that every ordered pair of X belongs to λ triples of B. In this paper, a relation between three types of oriented triple systems was discussed. We conjecture: the block-incident graph of MTS(v,λ) is 3-edge colorable. Then we obtain three disjoint DTS(v,λ)s and four disjoint HT...展开更多
基金the National Natural Science Foundation of China (No.10671055)
文摘A Mendelsohn (directed, or hybrid) triple system of order v, denoted by MTS(v,λ) (DTS(v,λ), or HTS(v,λ)), is a pair (X,B) where X is a v-set and B is a collection of some cyclic (transitive, or cyclic and transitive) triples on X such that every ordered pair of X belongs to λ triples of B. In this paper, a relation between three types of oriented triple systems was discussed. We conjecture: the block-incident graph of MTS(v,λ) is 3-edge colorable. Then we obtain three disjoint DTS(v,λ)s and four disjoint HT...
