Kelly, Erin Webster2014-03-142014-03-142006-05-10etd-05192006-121055http://hdl.handle.net/10919/32992The expanding constant is a measure of graph connectivity that is important for certain applications. This paper discusses the mathematical foundations for the construction of Winnie Li's graphs and for the proof that Winnie Li's graphs are Ramanujan. The paper also establishes the implications of the Ramanujan property for the expanding constant.In Copyrightexpanding constantramanujan graphwinnie li graphThesishttp://scholar.lib.vt.edu/theses/available/etd-05192006-121055/