A negative ${T}^{\ensuremath{-}\frac{1}{2}}$ dependence of a component of the electrical conductivity, indicative of one-dimensional transport, was found in glassy carbon heat treated at temperatures less than 2200\ifmmode^\circ\else\textdegree\fi{}C. The microstructure, as examined in lattice images in the transmission electron microscope, the Porod-law dependence obtained in small-angle scattering, and the decrease in the ${d}_{002}$-spacing interlayer as measured by x-ray diffraction (above this critical temperature) support this thesis.