The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs
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2006-05-10
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Virginia Tech
Abstract
The 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.
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Keywords
expanding constant, ramanujan graph, winnie li graph