| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
In this research, we investigated graphs embedded on surfaces. Especially, for triangulations and quadrangulations, we did the following:
(1) describing the relationship between them in terms of the chromatic number, (2) showing that every even triangulation of a surface with non-negative Euler characteristic has a Grunbaum coloring, and (3) analysing re-embedding structure of 1-embedded graphs.
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