PreprintCC BY-NC-ND 4.0arXiv
Ramsey numbers R(K1,4,Km,n) for small m
Abstract
We determine all currently unknown values of the generalized two-color Ramsey number R(K1,4,Km,n) for min(m,n) ≤ 8. We also prove that the number R(K1,4,Km,m) equals $26, 29, 31, 33$ for m = 9, 10, 11, 12 respectively.
Related
BibTeX
@misc{abdullin2026ramsey,
title = {{Ramsey numbers $R(K_1,4,K_m,n)$ for small $m$}},
author = {Khaidar Abdullin and Dmitrii Taletskii},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41999},
eprint = {2610.41999},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41999},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Ramsey numbers R(K_1,4,K_m,n) for small m
AU - Khaidar Abdullin
AU - Dmitrii Taletskii
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41999
UR - https://arxiv.org/abs/2610.41999
AB - We determine all currently unknown values of the generalized two-color Ramsey number R(K_1,4,K_m,n) for min(m,n) ≤ 8. We also prove that the number R(K_1,4,K_m,m) equals $26, 29, 31, 33$ for m = 9, 10, 11, 12 respectively.
ER -