Some Characterizations for Graphs of a Class of Knots

Abstract

This study deals with a study that combines the fields of graph theory and knot theory. Here,
the graph parameters of the twist knots, which is an important knot family, are examined.
First of all, graphs of twist knots were obtained by coloring method and then the basic graph
parameters known for these graphs were examined. Generalizations have been made based on
these calculations. In the study process, the methods and techniques in graph theory were
utilized to a great extent.