2 citations · 4 across the 4 of their papers we have counts for
4 papers
A remark on the BA model of scale-free networks
Shinji Tanimoto
The degree distributions of many real world networks follow power-laws whose exponents tend to fall between two and three. Within the framework of the Barabasi-Albert model (BA mod…
A novel operation associated with Gauss' arithmetic-geometric means
Shinji Tanimoto
The arithmetic mean is the mean for addition and the geometric mean is that for multiplication. Then what kind of binary operation is associated with the arithmetic-geometric mean…
Parity-Alternate Permutations and Signed Eulerian Numbers
Shinji Tanimoto
In order to study signed Eulerian numbers, we introduce permutations of a particular type, called parity-alternate permutations, because they take even and odd entries alternately.…
A New Approach to Signed Eulerian Numbers
Shinji Tanimoto
The numbers of even and odd permutations with a given ascent number are investigated using an operator that was previously introduced by the author. Their difference is called a si…