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Some Elementary Ramanujan Graphs |
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| Authors: | |
| Institution: | (1) Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, U.S.A |
| Abstract: | We give elementary constructions of two infinite families of Ramanujan graphs of unbounded degree. The first uses the geometry of buildings over finite fields, and the second uses triangulations of modular curves.Mathematics Subject Classiffications (2000). Primary: 05C25; secondary: 05C50, 51E24 |
| Keywords: | Ramanujan graphs buildings modular curves modular symbols |
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