Knot graphs

In this study, knot graphs are investigated generally for their graphical acts, Jones polynomial and matrix. In exploring graphical acts of knot graphs, Reidemeister moves employed on knots are applied on knot graphs and proved in alternative ways. Furthermore, the cases associated with the unions of two trefoil knots graphs are introduced. As a relation to Jones polynomial, for q = 3,5,..., an algorithm showing a way to find Jones polynomial for K(2,q) torus knots is proposed. A method finding matrices of connected sum of K(2,q) torus knots is described for the matrices of knot graphs, and some results of implementation of this method are presented. Finally, a few computer software programs are exhibited for these issues under investigation. 2002, 55 pages Key words : knot, knot graph, torus knot, Jones polynomial, graph matrix.