28 citations · 100 across the 28 of their papers we have counts for
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math.GT2007★ 5 cited
Homotopy on spatial graphs and generalized Sato-Levine invariants
Ryo Nikkuni
Edge-homotopy and vertex-homotopy are equivalence relations on spatial graphs which are generalizations of Milnor's link-homotopy. Fleming and the author introduced some edge (resp…
math.GT2007★ 19 cited
Symmetries of spatial graphs and Simon invariants
Ryo Nikkuni, Kouki Taniyama
An ordered and oriented 2-component link L in the 3-sphere is said to be achiral if it is ambient isotopic to its mirror image ignoring the orientation and ordering of the componen…
math.GT2007
Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots
Ryo Nikkuni
In this paper we construct some invariants of spatial graphs by disk-summing the constituent knots and show the delta edge-homotopy invariance of them. As an application, we show t…