Homfly Polynomial of Knotted Trivalent Plane Graphs
K. Qazaqzeh, A. Aboufattoum, E. A. Elsakhawy, A. T. Diab
Asian Research Journal of Mathematics · pp. 1–7 · Published 20 Nov 2017
10.9734/ARJOM/2017/37847Abstract
We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [14]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of this polynomial invariant. These congruences yield criteria for periodicity of knotted trivalent plane graphs.
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