Homfly Polynomial of Knotted Trivalent Plane Graphs | Chapter 10 | Theory and Applications of Mathematical Science Vol. 1
We study the Homfly polynomial of
periodic knotted trivalent plane graphs introduced in [1]. 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.
Author(s) Details
Ayman A. Aboufattoum
Department of Mathematics,
Faculty of Science, Kuwait University, P.O.Box 5969, Safat-13060, Kuwait.
K. Qazaqzeh
Department of Mathematics,
Faculty of Science, Kuwait University, P.O.Box 5969, Safat-13060,Kuwait.
E. A. Elsakhawy
Department of Mathematics,
Faculty of Science, Ain Shams University, Cairo 11566, Egypt.
A. T. Diab
Department of Mathematics,
Faculty of Science, Ain Shams University, Cairo 11566, Egypt.
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