Knot theory of K5 & K6 problems using Alexander and Jones polynomial

G. Infant Gabriel; N. Uma

G. Infant Gabriel SRI RAMAKRISHNA COLLEGE OF ARTS AND SCIENCE
N. Uma PG and Research Department of Mathematics, \\ Sri Ramakrishna College of Arts and Science (Formerly SNR Sons College),\\ Coimbatore, Tamil Nadu(INDIA

Abstract

Knot theory is a distinct branch of topology. In recent years, exciting new application of knot theory to biology and chemistry, especially to DNA structures are being developed. Alexander polynomial is very closely connected with the topological properties of knots. In this paper we have determined the solution of K₅ and K₆ knots using the condition of Alexander polynomial and Jones polynomial.