arXiv Open Access 2019

Another method to solve the grasshopper problem (the International Mathematical Olympiad)

Yasushi Ieno

Lihat Sumber

Abstrak

The 6th problem of the 50th International Mathematical Olympiad (IMO), held in Germany, 2009, is called 'the grasshopper problem'. To this problem Kos developed theory from unique viewpoints by reference of Noga Alon's combinatorial Nullstellensatz. We have tried to solve this problem by an original method inspired by a polynomial function that Kos defined, then examined for n=3, 4 and 5. For almost cases the claim of this problem follows, but there remains imperfection due to 'singularity'.

Topik & Kata Kunci

math.GM

Penulis (1)

Yasushi Ieno

Format Sitasi

APA MLA BibTeX

Ieno, Y. (2019). Another method to solve the grasshopper problem (the International Mathematical Olympiad). https://arxiv.org/abs/1911.01534

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓