Using the colouring invariant of a knot to determine whether or not knots are equivalent

(due date December 6)

Studying knots mathematically has proven to be an exceptionally fertile area of study and, within the past few years, applications to various other disciplines have been uncovered. Using the methods outlined in the sample problem on knots determine which of the following knots are equivalent. Keep in mind that simply establishing that two knots have the same colouring invariant does not establish that they are equivalent. (But it is an indication that they might be).
Knot 1 Knot 2

Knot 3 Knot 4
Knot 5


Mike Zabrocki
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Department of Mathematics and Statistics
York University
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