Degree of branching (DB) is a crucial structure parameter of hyperbranched polymers, which can be determined by 1 H NMR, quantitative 13 C NMR, degradative method, etc. However, for complicated hyperbranched polymers, intricate structure and severe overlap of spectral signals hinder the determination of DB using traditional methods. In this work, the architecture of complicated hyperbranched polymers has been elucidated with the help of 2D NMR techniques. Using such a method, overlapped NMR signals can be well separated into a two-dimensional space, and additional structural information is also available. Correspondingly, quantitative analysis for complicated systems can be realized.
Determination of DBs for three types of complicated hyperbranched polymers synthesized from step-polymerization, self-condensation vinyl polymerization and self-condensation ring-opening polymerization is shown as examples.hyperbranched polymer, degree of branching, 2D NMR The dendritic structure is now accepted as the fourth major polymer architecture following the linear, cross-linked and branched structures [1] . Due to their unique physical and chemical properties, such as good solubility, low viscosity and numerous terminal groups, dendritic polymers have potential applications in the fields of rheology, materials processing, drug delivery, self-assembly, catalyst, energy transfer, etc. As one important subclass of dendritic polymers, hyperbranched polymer can be easily synthesized by one-pot methodology using commercially available monomers [2][3][4][5][6] . However, the irregular structure of hyperbranched polymer also brings about some new problems. For example, uncertainty in the architecture of hyperbranched polymers is a basic problem to be solved. As many studies have demonstrated that the properties of hyperbranched polymers are strongly correlated with their branched structure, defining and determining the dendritic structure parameter of the hyperbranched polymer is a key step for its application. Nowadays, the degree of branching (DB) has been widely used to describe the average topological architecture of highly branched polymers.Historically, in nearly 50 years before the popular term "hyperbranched polymer" was put forward by Webster and Kim [7] , Flory [8] had developed the concept of "degree of branching (DB)". In 1991, Fréchet et al. [9] presented the widely accepted definition of DB. After that, Frey [10] , Yan et al. [11] gave the modified definitions of DB respectively. The most common method of DB determination is based on the one-dimensional nuclear magnetic resonance (1D NMR) technique [9] . By characterization of a series of model compounds on highresolution 1D NMR spectroscopy, characteristic peaks