Before revision:  They inherit this ability directly from the coefficients \rho_q that are processed here to construct a distance matrix being the input to the MST-constructing Kruskal's algorithm. In order to illustrate their performance, we apply the qMSTs to sample empirical data from the American stock market and discuss the results.
After revision:  They inherit this ability directly from the coefficients \rho_q that are processed here to construct a distance matrix . Conventional MST with detrending corresponds in this context to q=2. We apply the qMSTs to sample empirical data from the American stock market and discuss the results.