Hom y Polynomial of Knotted Trivalent Plane Graphs

  • K. Qazaqzeh Department of Mathematics, Faculty of Science, Kuwait University, P.O.Box 5969, Safat-13060, Kuwait.
  • Ayman A. Aboufattoum 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.
Keywords: Hom y polynomial, periodic links, knotted trivalent plane graphs

Abstract

We study the Hom y polynomial of periodic knotted trivalent plane graphs introduced in [1]. We show how periodicity of a knotted trivalent plane graphs is re ected 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.

Published
2020-01-04
How to Cite
Qazaqzeh, K., Aboufattoum, A. A., Elsakhawy, E. A., & Diab, A. T. (2020). Hom y Polynomial of Knotted Trivalent Plane Graphs. Theory and Applications of Mathematical Science Vol. 1, 122-128. Retrieved from https://stm1.bookpi.org/index.php/tams-v1/article/view/33
Issue
Theory and Applications of Mathematical Science Vol. 1
Section
Chapters