As the use of Internet has become an ordinary activity, every kind of file is transmitted through network and shape models are not an exception at all. Hence, the compression of topology, geometry, etc. has been studied since the initial work by Deering. Since the compression of geometry and other attributes of mesh model turns out to use the information produced by topology compression, the topology compressor such as Edgebreaker has been extensively analyzed. Presented in this paper is another important characteristic of Edgebreaker: the distribution of vertex indices. The distribution is very important to achieve higher compression ratio of shape models with attributes defined at vertices, especially when there are multiple attributes at each vertex.