Hom y Polynomial of Knotted Trivalent Plane Graphs
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 7, Issue 2
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.
Authors and Affiliations
K. Qazaqzeh, A. Aboufattoum, E. A. Elsakhawy, A. T. Diab
Keywords
Related Articles
- EP ID EP338420
- DOI 10.9734/ARJOM/2017/37847
- Views 93
- Downloads 0
Invariant Compact Sets of Nonexpansive Iterated Function Systems
In this work we prove the existence of invariant compact sets under the action of nonexpansive iterated functions systems on normed spaces. We generalized the previous result to convex metric spaces and we also show that...
Effect of Variable Axial Force on the Deflection of Thick Beam Under Distributed Moving Load
The effect of variable axial force on the deflection of thick beam under moving load is investigated in this research work. In order to obtain solution to the dynamic problem, a technique base on the method of Galerkin w...
Teacher-Student Variables as Predictor of Students' Interest in Mathematics: The Use of Stepwise Multiple Linear Regression Analysis
The study investigated the effect of teacher and student variables on student interest in Mathematics. The study used quantitative approach to research to explore and explain the effect of teacher and students variable o...
Solving Systems of Fractional Differential Equations Using Sumudu Transform Method
In this paper we are interested in showing the approximate analytical solutions for systems of fractional differential equations and nonlinear biochemical reaction model by using Sumudu transform method. The fractional d...
The Effect of Chemical Reaction, and Thermal Radiation on Magnetohydrodynamic Casson Fluid Flow over Non-linearly Stretching Surface with Suction
In the present paper, we investigate numerically the effect of chemical reaction, and radiation on magnetohydrodynamic Casson fluid flow over non-linearly stretching surface with fluid suction. By suitable similarity tra...