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A note on the approximability of the tenacity of graphs

Vahid Heidari; Dara Moazzami

Volume 52, Issue 2 , December 2020, , Pages 149-157

https://doi.org/10.22059/jac.2020.79270

Abstract
  In this paper we show that, if $NP\neq ZPP$, for any $\epsilon > 0$, the tenacity of graphwith $n$ vertices is not approximable in polynomial time within a factor of$\frac{1}{2} \left( \frac{n-1}{2} \right) ^{1-\epsilon}$.  Read More