A Note on the Ramsey Number of Even Wheels Versus Stars

For two graphs G1 and G2, the Ramsey number R(G1,G2) is the smallest integer N, such that for any graph on N vertices, either G contains G1 or Ḡ contains G2. Let Sn be a star of order n and Wm be a wheel of order m + 1. In this paper, we will show R(Wn, Sn) ≤ 5n/2 − 1, where n ≥ 6 is even. Also, by...

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Bibliographic Details
Main Authors: Haghi Sh., Maimani H.R.
Format: Article
Language:English
Published: Sciendo 2018-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2009