Abstract: We present an efficient connectivity compression algorithm for triangular meshes.It is a facebased,single resolution and lossless connectivity compression method.This method is an improvement to Edgebreaker method.By the method,in the mesh traversal process,we use an adaptive mesh traversing method to generate split operations,so that the number of split operations could be greatly reduced,In the process of entropy encoding,a code-mode scheme is well designed for each operator in the operator series, the result produced in the mesh traversal.Then after a binary representation is obtained,it is encoded by using adaptive arithmetic coding method finally.In comparison with the previous best face-based encoding methods,our method can significantly improve the compression ratio.