S. Watanabe

activity

20172026

most citedTwo characteristic polynomials corresponding to graphical networks over min-plus algebra

2 citations · 5 across the 6 of their papers we have counts for

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Showing 2021Show all

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math.CO2021★ 1 cited

Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe

The max-plus algebra $R \cup {- \infty}$ is a semiring with the two operations: addition $a \oplus b := max (a, b)$ and multiplication $a \otimes b := a + b$ . Roots of the…

math-ph2021

A variant of the discrete Burgers equation derived from the correlated random walk and its ultradiscretization

Akiko Fukuda, Etsuo Segawa, Sennosuke Watanabe

In this paper, we show that a variant of the discrete Burgers equation can be obtained through the Cole--Hopf transformation to a generalized discrete diffusion equation correspond…