@Article{AAM-34-2,
author = {Shen, Lili and Xianzhang, Wu},
title = {The Bounds about the Wheel-Wheel Ramsey Numbers},
journal = {Annals of Applied Mathematics},
year = {2018},
volume = {34},
number = {2},
pages = {178--182},
abstract = {<p style="text-align: justify;">In this paper, we determine the bounds about Ramsey number $R(W_m, W_n),$ where $W_i$ is a graph obtained from a cycle $C_i$ and an additional vertex by
joining it to every vertex of the cycle $C_i.$ We prove that $3m+1 ≤ R(W_m, W_n) ≤
8m − 3$ for odd $n,$ $m ≥ n ≥ 3,$ $m ≥ 5,$ and $2m + 1 ≤ R(W_m, W_n) ≤ 7m − 2$ for
even $n$ and $m ≥ n + 502.$ Especially, if $m$ is sufficiently large and $n = 3,$ we
have $R(W_m, W_3) = 3m + 1.$</p>},
issn = {},
doi = {https://doi.org/2018-AAM-20571},
url = {https://global-sci.com/article/72715/the-bounds-about-the-wheel-wheel-ramsey-numbers}
}