ALEXANDER POLYNOMIAL FOR EVEN GRAPHS WITH REFLECTIVE SYMMETRY

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	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
	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).