Characteristics and measures for the structural properties of networks are provided in great numbers and diversity (Costa et al. 2007; Dale & Fortin 2010; Rayfield et al. 2011; Delmas et al. 2019). For example, Costa et al. (2007) discussed 31 such measures, making it a daunting task to understand the choices, evaluate their properties, and determine the best for a given purpose. Just organising the material is a challenge. This chapter will start at the local scale, with the properties of nodes and edges, then moving to the global scale of characteristics of networks in their whole graphs, beginning with different approaches to analysis (e.g. spectral graph theory and information measures) ending with a discussion of the properties that are evaluated. The focus here is primarily structural properties; network dynamics and the relationship between structure and function will be covered in Chapters 3 and 4.