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AN APPLICATION OF BORSUK-ULAM'S THEOREM TO NONLINEAR PROGRAMMING

Hidefumi Kawasaki

Journal of the Operations Research Society of Japan2025https://doi.org/10.15807/jorsj.68.21article
ABDC B
Weight
0.50

What the paper says

Borsuk-Ulam's theorem is a useful tool of algebraic topology. It states that for any continuous mapping f from the n-sphere to the n-dimensional Euclidean space, there exists a pair of antipodal points such that f(x) = f(−x). As for its applications, the ham-sandwich theorem, the necklace theorem and coloring of Kneser graph by Lov´asz are well-known. This paper attempts to apply Borsuk-Ulam’s theorem to nonlinear programming.

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https://doi.org/https://doi.org/10.15807/jorsj.68.21

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@article{hidefumi2025,
  title        = {{AN APPLICATION OF BORSUK-ULAM'S THEOREM TO NONLINEAR PROGRAMMING}},
  author       = {Hidefumi Kawasaki},
  journal      = {Journal of the Operations Research Society of Japan},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.15807/jorsj.68.21},
}

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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