  The dynamical behavior of networked complex systems is shaped not only by the
direct links among the units, but also by the long-range interactions occurring
through the many existing paths connecting the network nodes. In this work, we
study how synchronization dynamics is influenced by these long-range
interactions, formulating a model of coupled oscillators that incorporates this
type of interactions through the use of $d-$path Laplacian matrices. We study
synchronizability of these networks by the analysis of the Laplacian spectra,
both theoretically and numerically, for real-world networks and artificial
models. Our analysis reveal that in all networks long-range interactions
improve network synchronizability with an impact that depends on the original
structure, for instance it is greater for graphs having a larger diameter. We
also investigate the effects of edge removal in graphs with long-range
interactions and, as a major result, find that the removal process becomes more
critical, since also the long-range influence of the removed link disappears.
