Huang, W., Shao, S., Tao, T., Xiao, R. and Yang, N. 2026. Monochromatic Sums and Products with Additive or Multiplicative Shifts in Natural Numbers. The Electronic Journal of Combinatorics. 33, 3 (Aug. 2026), #P3.44. DOI:https://doi.org/10.37236/14615.