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Showing 2009Show all
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math.GT2009★ 18 cited
Graphs of 20 edges are 2-apex, hence unknotted
Thomas W. Mattman
A graph is 2-apex if it is planar after the deletion of at most two vertices. Such graphs are not intrinsically knotted, IK. We investigate the converse, does not IK imply 2-apex?…
math.GT2009★ 14 cited
A proof of the Kauffman-Harary Conjecture
Thomas W. Mattman, Pablo Solis
We prove the Kauffman-Harary Conjecture, posed in 1999: given a reduced, alternating diagram D of a knot with prime determinant p, every non-trivial Fox p-coloring of D will assign…