Correction: Michos, I.; Kourouzides, C. Combinatorial Comparison of Trace Monoids via Their Dependence Graph Symmetries. Proceedings 2025, 123, 8

Text Correction

There were two errors in the original publication [1].

(1) At the end of Paragraph 23 of Section 3, where the calculation of the measure of asymptotic average parallelism ${\lambda }_{CF}$ is made for both the cube and the Wagner graph as independence graphs, the final result should be ${\displaystyle \frac{31}{46}}\approx 67.39\%$, not ${\displaystyle \frac{31}{36}}\approx 86.11\%$.

A correction has been made to 3. Results, the computation of ${\lambda }_{CF}$:

$${{\lambda }_{CF}=\left({\displaystyle \frac{16}{31}}\cdot 1+{\displaystyle \frac{15}{31}}\cdot 2\right)}^{-1}={\displaystyle \frac{31}{46}}\approx 67.39\%.$$

(2) In the proof of Theorem 4 at the end of Paragraph 31 of Section 3 (immediately after the displayed matrix $\overline{A_{\pi }}$), the corresponding coloration matrix $A_{\pi }$ contained a misprinted entry: the (3, 3) entry of the matrix $A_{\pi }$ was typeset as $3t$, but it should be $3t-2$.

A correction has been made to 3. Results, Theorem 4 (final $5\times 5$ coloration matrix $A_{\pi }$):

$$A_{\pi }=\left(\begin{array}{ccccc}3t-2& n-3t& 3t-3& n-3t& t-1\\ 3t& n-3t-2& 3t& n-3t-4& t\\ 3t-1& n-3t& 3t-2& n-3t& t-1\\ 3t& n-3t& 3t& n-3t& t\\ 3t& n-3t& 3t& n-3t& t\end{array}\right).$$

The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.