m-几乎交错环链图的性质

The properties of m-almost alternating link diagrams

主要研究m-几乎交错环链图的性质,特别是m-几乎交错环链的投影图是dealternator连通且非约化的情况.给出了非约化交错环链K有x个A-方向和y个B-方向的isthums点时,Kauffman多项式的宽度.讨论了非约化几乎交错投影图中DRPT的类型及投影图沿DRPT分离时状态,在假定投影图中所有DRPT都为(A,B)型的基础上,讨论A-方向打开的dealternator点点数i相同与不同时,分3种情况研究了A-状态分支数与B-状态分支数之间的关系.从而讨论了Kauffman多项式的最高次幂幂指数与最低次幂幂指数的关系.

The properties of projective diagrams of m-almost alternating links are discussed.Particularly,we deal with the case that the m-almost alternating projiections are dealternator connected and nonreduced.The breadth of the Kauffman polynomail is given when the projection is nonreduced alternating with x A-channel isthmus points and y B-channel isthmus points.The splitting state that m-almost alternating projiections are of the type of DRPT,and the projections are split along the DRPT,is studied.On the basis of all DRPT are（A,B） type in the projection,we dicuss the relation between SAL and SBL when the channel split is the same or different in three cases.