2类代数缠绕可染色的充分性条件
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摘要
缠绕的可染色性对纽结和链环的分类具有重要的作用,以有理缠绕可染色为基础,利用三维流形组合拓扑的研究技巧和方法讨论2类代数缠绕的可染色性及有关2-缠绕的染色规则,给出了2类代数缠绕可染色的充分性条件.
Dyeability of tangles play an important role in the classification of knots and links,on the basis of colorable of rational tangles,by the combinatorial methods and techniques in three manifolds,discusses the dyeability of two kind of algebraic tangles and the colorable rules of 2-tangles,and gives sufficient conditions for the colorable of the two kind of algebraic tangles.
Dyeability of tangles play an important role in the classification of knots and links,on the basis of colorable of rational tangles,by the combinatorial methods and techniques in three manifolds,discusses the dyeability of two kind of algebraic tangles and the colorable rules of 2-tangles,and gives sufficient conditions for the colorable of the two kind of algebraic tangles.
引文
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[10]孙平爽.代数纽结和链环的缠绕分解及性质[D].大连:辽宁师范大学,2018
[11]魏义婷.一类链环的多边形表示及棍棒指标估计[D].大连:辽宁师范大学,2018
[2]Kauffman L,Lambropoulou S.Tangles,rational knots and DNA[J].Lecture Notes in Mathematics,2009(1973):99-138
[3]Kauffman L,Lambropoulou S.On the classification of rational tangles[J].Advances in Applied Math,2004,33(2):199-237
[4]Goldman J,Kauffman L.Knots,tangles and electrical networks[J].Academic Press inc,1993,14(3):267-206
[5]Goldman J,Kauffman L.Rational tangles[J].Advances in Applied Math,1997,18(3):300-332
[6]Harary F,Kauffman L.Knots and graphs I-Arc Graphs and Colorings[J].Advances in Applied Math,1999,22(3):312-337
[7]Przytycki J.3-coloring and other elementary invariants of knots[J].Banach Center Publ,1998,42(1):275-295
[8]Rolfsen D.Knots and Links[M].Berkeley:Publish or Perish Press,1976
[9]Hempel J.3-Manifold[M].Princeton:princeton University press,1976
[10]孙平爽.代数纽结和链环的缠绕分解及性质[D].大连:辽宁师范大学,2018
[11]魏义婷.一类链环的多边形表示及棍棒指标估计[D].大连:辽宁师范大学,2018