On Conway-Gordon type theorems for graphs in the Petersen family

Published 10 Sep 2012 in math.GT | (1209.2006v3)

Abstract: 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.

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