An analysis of the "tree-like network" construct method is presented. The high effective-conduction channel distribution has been optimized, without the premise that the new-order assembly construct must be assembled by the optimized last-order construct. The "tree-like network" construct method is faultiness. A more optimal construct is obtained, and when the thermal conductivities and the proportion of the two heat-conduction materials are constants, the limit of the minimum-heat resistance is derived. These conclusions can be used as a guide for engineering applications. (c) 2006 Elsevier Ltd. All rights reserved.