Algebraic Graph Theory
Group actions on graphs, Cayley graphs, and automorphism theory.
Algebraic Graph Theory. Group actions on graphs, Cayley graphs, and automorphism theory.
Foundations and canonical references
The standard treatments of algebraic graph theory approach the subject from complementary angles. Godsil, Algebraic Graph Theory (2001) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Biggs, Algebraic Graph Theory (1993) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for algebraic graph theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2001Algebraic Graph Theorygodsil-2001, royle-2001
- textbook · primary · 1993Algebraic Graph Theorybiggs-1993
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