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Universitas Hasanuddin
Research output:Contribution to journalArticlepeer-review

The Ramsey Numbers for Star Versus Wheel of even Order

Hasmawati

Journal of Physics Conference Series

Published: 2018

Abstract

The Ramsey Numbers of R(G,H) is the smallest integer k such that for any graph F of order k, either F contains G or the complement of F (or ) contains H. Let Sn denoted star of order n and Wm a wheel of order m + 1. In this paper, we show that R(S20, W10) = 43, and if k is even, R(S2k+1, W2k) = 5k – 1 for k ≥ 6.

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