Knots and links derived from prismatic graphs

摘要

Using the methodology proposed in the paper [1], we derive the corresponding alternating source and generating links from prismatic decorated graphs and obtain the general formulas for Tutte polynomials and different invariants of the source and generating links for 3-and 4-prismatic decorated graphs. By edge doubling construction we derive from prismatic graphs different classes of prismatic knots and links: pretzel, arborescent and polyhedral links of the form n_1*·p_2.....p _n.