Hiroka Hashimoto, Ryo Nikkuni
Published 2012-09-10, updated 2013-07-11Version 3
For every spatial embedding of each graph in the Petersen family, it is known that the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 modulo 2. In this paper, we give an integral lift of this formula in terms of the square of the linking number and the second coefficient of the Conway polynomial.
Comments: 13 pages, 5 figures. arXiv admin note: text overlap with arXiv:1104.0828
Knotting and linking in the Petersen family
Intrinsically linked graphs and even linking number
The linking number and the writhe of uniform random walks and polygons in confined spaces
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