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