Hosoya Polynomial of Graphs Belonging to Twist Knots

Abstract

There is a deep relationship between knot theory and graph theory. Graphs are effective tools for studies into knot theory. It is possible to switch between the two theories by forming the graphs of knots. Thus, the study areas of the two theories meet on a common ground. In this study, we firstly introduce Hosoya polynomial and we work out the Hosoya polynomials for graphs of twist knots which are one of interesting families of knots

and try to get a generalization for them.

Keywords

• Twist knots,Knot graph,Hosoya polynomial

References

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