IMCS/Publications/CSJM/Issues/CSJM v.25, n.3 (75), 2017/

A remark on the weak Turán’s Theorem
At the request of the author (Received October 21, 2019), the article has been retracted.

Authors: Nader Jafari Rad
Keywords: Independent set, Tur$\acute{a}$n's Theorem, Probabilistic methods.


A subset $S$ of vertices of a graph $G$ is an \textit{independent set} if no pair of vertices of $S$ are adjacent. The \textit{independence number}, $\alpha(G)$ of $G$, is the maximum cardinality of an independent set of $G$. In this note, we present an improvement of the weak Tur$\acute{a}$n's theorem.

Department of Mathematics, Shahrood University of Technology
Shahrood, Iran


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