All Complete Graph-Wheel Planar Ramsey Numbers

作者:Zhang Yanbo; Zhou Guofei; Chen Yaojun*
来源:Graphs and Combinatorics, 2015, 31(6): 2459-2465.
DOI:10.1007/s00373-014-1509-y

摘要

For two given graphs and , the planar Ramsey number is the smallest integer such that for any planar graph of order , either contains or the complement of contains . Let denote a complete graph of order and a wheel of order . In this paper, we determine all planar Ramsey numbers PR(K-m, W-n).