Restricted van der Waerden Theorem for Nilprogressions
In [Adv. Math. 321 (2017) 269-286], using the theory of ultrafilters, J. H. Johnson Jr., and F. K. Richter proved the nilpotent polynomial Hales-Jewett theorem. Using this result they proved the restricted version of the van der Waerden theorem for nilprogressions of rank 2 and conjectured that this result must hold for arbitrary rank. In this article, we give an affirmative answer to their conjecture.
Authors
- Sayan Goswami (ORCID: https://orcid.org/0000-0002-1340-0690)
Institutions
- University of Kalyani (IN)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2025-08-08
- DOI
- https://doi.org/10.37236/13512
- Primary Topic
- Limits and Structures in Graph Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Board for Higher Mathematics