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Topological Symmetry Groups
Topological symmetry groups of graphs embedded in the 3-sphere
(with
Ramin Naimi
,
James Pommersheim
, and
Harry Tamvakis
)
Topological symmetry groups of complete graphs in the 3-sphere
(with
Ramin Naimi
and
Harry Tamvakis)
Topological symmetry groups of K
4r+3
(with Dwayne Chambers and John D. O'Brien)
Intrinsic Knotting and Linking
Every graph has an embedding in S
3
containing no non-hyperbolic knot
(with
Hugh Howards
)
Intrinsic linking and knotting are arbitrarily complex
(with
Blake Mellor
and
Ramin Naimi
)
The y-triangle move does not preserve intrinsic knottedness
(with
Ramin Naimi
)
Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
(with
Hugh Howards
, Don Lawrence, and
Blake Mellor
)
Intrinsically triple-linked complete graphs
(with
Ramin Naimi
and
James Pommersheim
)
Intrinsically n-linked graphs
(with
Joel Foisy
,
Ramin Naimi
, and
James Pommersheim
)
Research Grants
NSF Grant
DMS 0905087:
Topological symmetries and intrinsic properties of graphs embedded in 3-space
(July 2009-July 2012)