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论文类型：期刊论文

发表时间：2017-05-01

发表刊物：JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

收录刊物：SCIE、Scopus

卷号：26

期号：6,SI

ISSN号：0218-2165

关键字：Regional knot invariant; tridle; Alexander polynomial; presentation matrix; linear tridle

摘要：In this paper, a regional knot invariant is constructed. Like the Wirtinger presentation of a knot group, each planar region contributes a generator, and each crossing contributes a relation. The invariant is called a tridle of the link. As in the quandle theory, one can define Alexander quandle and get Alexander polynomial from it. For link diagram, one can also define a linear tridle and its presentation matrix. A polynomial invariant can be derived from the matrix just like the Alexander polynomial case.