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# Correction to: Distance between vertices of lattice polytopes

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## Correction to: Optimization Letters https://doi.org/10.1007/s11590-018-1338-7

The erratum mostly concerns Table 4 and Figure 6 where two polytopes were misrepresented in the original version of https://doi.org/10.1007/s11590-018-1338-7. In addition, we wish to point out the following typographical mistakes:

1. (i)

all the occurrences of $$\delta (d,k-1)$$ in Section 3 should be replaced by $$\delta ({d-1,k})$$;

2. (ii)

$$\widetilde{v} \prec (k,\dots ,k) - u$$ in Section 3.2.2 should be replaced by $${u} \prec \widetilde{w}$$ with $$w=(k,\dots ,k)-{v}$$;

3. (iii)

the statement a lattice (3, 4)-polytope such that$$d(u, v) = 5$$ in Section 3.2.6 should be replaced by a lattice (3, 4)-polytope such that$$d(u, v) = {6}$$; and

4. (iv)

$$F_i^-(P)=\{x\in {P}:x=\gamma ^-_i(P)\}(\dots ) F_i^+(P)=\{x\in {P}:x=\gamma ^+_i(P)\}$$ after Lemma 1 should be replaced by $$F_i^-(P)=\{x\in {P}:x_{i}=\gamma ^-_i(P)\} (\dots ) F_i^+(P)=\{x\in {P}:x_{i}=\gamma ^+_i(P)\}$$.

## Author information

Correspondence to Antoine Deza.