Title: Graphs in algebra and algebra in graphs
|Affiliation:||University of Waterloo|
How do algebraic properties of a graph relate to its graph theoretic properties? What are algebraic properties of graphs? What does the spectrum of a graph tell us about its structure? What is a Cayley graph?In this talk I will discuss at least a non-empty subset of these questions and give some partial answers to them. Terms like 'bipartite', 'strongly regular' and 'vertex transitive' might be thrown around, and there is even a possibility we learn something about the eigenvectors of Cayley graphs of abelian groups (spoiler: they are the characters of the group).
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Waterloo, ON N2L 3G1