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arxiv: 1102.5206 · v1 · pith:FXF4BAT6new · submitted 2011-02-25 · 💻 cs.DM

The Domination Number of Grids

classification 💻 cs.DM
keywords dominationnumbercalculationchangconcludeconjectureeveryfrac
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In this paper, we conclude the calculation of the domination number of all $n\times m$ grid graphs. Indeed, we prove Chang's conjecture saying that for every $16\le n\le m$, $\gamma(G_{n,m})=\lfloor\frac{(n+2)(m+2)}{5}\rfloor -4$.

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