| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Since a well-known conjecture due to Grunbaum and Nash-Williams, the Hamiltonicity of 4-connected graphs on the torus has been attracted by many researchers. In this work, I have had attempt to solve this conjecture, and obtained several results.
For example, I posed ``to improve a known method, so-called Tutte cycle (or path)'' as one of the main target in this work. In fact, I have succeeded this and obtained some results using an improved Tutte cycle. I also gave some other results on the toughness of graphs, which I also posed when this work began.
I also obtained several other results, which have been presented as academic articles or talks in conferences.
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