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math.CO2022
Reconfiguration of colorings in triangulations of the sphere
Takehiro Ito, Yuni Iwamasa, Yusuke Kobayashi +4
In 1973, Fisk proved that any -coloring of a -colorable triangulation of the -sphere can be obtained from any -coloring by a sequence of Kempe-changes. On the other han…
math.CO2021
Monotone edge flips to an orientation of maximum edge-connectivity à la Nash-Williams
Takehiro Ito, Yuni Iwamasa, Naonori Kakimura +6
We initiate the study of -edge-connected orientations of undirected graphs through edge flips for . We prove that in every orientation of an undirected -edge-conne…