An Exact Formula for all Star-Kipas Ramsey Numbers

作者:Li, Binlong; Zhang, Yanbo; Broersma, Hajo*
来源:Graphs and Combinatorics, 2017, 33(1): 141-148.
DOI:10.1007/s00373-016-1746-3

摘要

Let and be two given graphs. The Ramsey number is the least integer r such that for every graph G on r vertices, either G contains a or contains a . A complete bipartite graph is called a star. The kipas is the graph obtained from a path of order n by adding a new vertex and joining it to all the vertices of the path. Alternatively, a kipas is a wheel with one edge on the rim deleted. Whereas for star-wheel Ramsey numbers not all exact values are known to date, in contrast we determine all exact values of star-kipas Ramsey numbers.

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