ALEXANDER POLYNOMIAL FOR EVEN GRAPHS WITH REFLECTIVE SYMMETRY | |
Jin, XA ; Zhang, F ; Jin XA(金贤安) | |
刊名 | http://dx.doi.org/10.1142/S0218216508006610
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2008-10 | |
关键词 | KNOTS |
英文摘要 | NSFC [10501038, 10671162]; Based on the connection with Alexander polynomial of special alternating links, Murasugi and Stoimenow introduced the Alexander polynomial of even graphs. In this paper, we study the Alexander polynomial of spatial even graphs with reflective symmetry. Roughly speaking, we prove that the Alexander polynomial of one half of a spatial even graph with reflective symmetry is a divisor of that of the whole spatial even graph. Then, we apply the result to a family of special alternating links, expressing the Alexander polynomial of such a link as the product of Alexander polynomials of two smaller special alternating links derived from the two isotopic "halves" of the original link. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66807] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Jin, XA,Zhang, F,Jin XA. ALEXANDER POLYNOMIAL FOR EVEN GRAPHS WITH REFLECTIVE SYMMETRY[J]. http://dx.doi.org/10.1142/S0218216508006610,2008. |
APA | Jin, XA,Zhang, F,&金贤安.(2008).ALEXANDER POLYNOMIAL FOR EVEN GRAPHS WITH REFLECTIVE SYMMETRY.http://dx.doi.org/10.1142/S0218216508006610. |
MLA | Jin, XA,et al."ALEXANDER POLYNOMIAL FOR EVEN GRAPHS WITH REFLECTIVE SYMMETRY".http://dx.doi.org/10.1142/S0218216508006610 (2008). |
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