Spectral Graph Theory, Expanders, and Ramanujan Graphs
نویسنده
چکیده
We will introduce spectral graph theory by seeing the value of studying the eigenvalues of various matrices associated with a graph. Then, we will learn about applications to the study of expanders and Ramanujan graphs, and more generally, to computer science as a whole.
منابع مشابه
Optimal network topologies : expanders , cages , Ramanujan graphs , entangled networks and all that
We report on some recent developments in the search for optimal network topologies. First we review some basic concepts on spectral graph theory, including adjacency and Laplacian matrices, paying special attention to the topological implications of having large spectral gaps. We also introduce related concepts such as ‘expanders’, Ramanujan, and Cage graphs. Afterwards, we discuss two differen...
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تاریخ انتشار 2014