Relaxed mean labeling for three star graph

摘要

In this paper, Relaxed mean labeling for three star is presented. We proved the three star graph is a relaxed mean graph if and only if |α_2 - α_3| ≤ α_1+5; α_1+α_2+5 ≤ α_3 ≤ α_1+α_2 - 3, where α_1 ≤ α_2<α_3.