28 citations · 100 across the 28 of their papers we have counts for
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math.GT2012★ 6 cited
A homotopy classification of two-component spatial graphs up to neighborhood equivalence
Atsuhiko Mizusawa, Ryo Nikkuni
A neighborhood homotopy is an equivalence relation on spatial graphs which is generated by crossing changes on the same component and neighborhood equivalence. We give a complete c…
math.GT2012★ 1 cited
Conway-Gordon type theorem for the complete four-partite graph
Hiroka Hashimoto, Ryo Nikkuni
We give a Conway-Gordon type formula for invariants of knots and links in a spatial complete four-partite graph in terms of the square of the linking number and the s…
math.GT2012★ 3 cited
On Conway-Gordon type theorems for graphs in the Petersen family
Hiroka Hashimoto, Ryo Nikkuni
For every spatial embedding of each graph in the Petersen family, it is known that the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 mo…