2 citations · 4 across the 13 of their papers we have counts for
13 papers
An Elliptic Curve Governing Hopf Linking in an -Symmetric Tensegrity
Taizo Sadahiro
We study in detail an A4-symmetric tensegrity appearing in Connelly's catalog. The realizable configurations form a one-parameter family that can be parametrized by points on the e…
Maximal Cells in Shifted Staircase Tableaux and a Quarter-Circle Law
Chihiro Kubota, Taizo Sadahiro, Yoshika Ueda
In this note, we explicitly compute the probability that a given cell in a random standard Young tableau of the shifted staircase shape contains the max…
An -cover of and integral polyhedral graphs
Taizo Sadahiro
We show that the star graph defined as the Cayley graph of generated by the star transpositions is an -cover of the complete graph ,…
A quotient-lifting approach to the Hamiltonicity of the cylindrical 5-puzzle graph
Taizo Sadahiro
We construct an explicit Hamiltonian cycle in the state graph of the 5-puzzle on a toroidal 2x 3 grid, a graph with 720 vertices. The cycle is described by a short symbolic sequenc…
Non-isomorphic Cayley Graphs with Same Random Walk Distributions
Masao Ishikawa, Fumihiko Nakano, Taizo Sadahiro
We construct an infinite family of triples (G,S1, S2) each consisting of a group G and a pair (S1, S2) of distinct subsets of G with the following properties. i The two Cayley grap…
Top to random shuffles on colored permutations
Fumihiko Nakano, Taizo Sadahiro, Tetsuya Sakurai
A deck of cards are shuffled by repeatedly taking off the top card, flipping it with probability , and inserting it back into the deck at a random position. This process c…