Hosoya Polynomial of Graphs Belonging to Twist Knots

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Turkish Journal of Mathematics and Computer Science
Volume:10 Special Issue
Hosoya Polynomial of Graphs Belonging to Twist Knots

Hosoya Polynomial of Graphs Belonging to Twist Knots

Authors : Abdulgani ŞAHİN, Bünyamin ŞAHİN

Pages : 38-42

View : 58 | Download : 8

Publication Date : 2018-12-29

Article Type : Conference Paper

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

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