ABSTRACT

This chapter assumes basic terminology from graph theory in Chapter 28; a good general graph theory reference is [CL96]. For standard terms or concepts from matrix analysis, see Part 1: Basic Linear Algebra, particularly Chapter 4.3, and Chapter 8; a good general matrix reference is [HJ85]. As we will be interested in properties of A that are permutation similarity invariant, primarily eigenvalues and their multiplicities, we will generally view a graph as unlabeled, except when referencing by labels is convenient.