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math.CO2024
2-distance 20-coloring of planar graphs with maximum degree 6
Kengo Aoki
A 2-distance -coloring of a graph is a proper -coloring such that any two vertices at distance two or less get different colors. The 2-distance chromatic number of is…
cond-mat.stat-mech2024
Expectation values in the random walk theory and the diffusion equation
Kenichiro Aoki, Takahisa Mitsui
The relation between the expectation values computed in the random walk theory, and the heat kernel method for the diffusion equation is explained concretely. The random walk is al…