Explicit construction of Ramanujan bigraphs
We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of \mathrm{SU}_{3}(\mathbb{Q}_{p})SU3(Qp)\mathrm{SU}_{3}(\mathbb{Q}_{p}). To make the graphs finite, we take successive quotients b...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Kapitel/Artikel Konferenzschrift |
| Sprache: | Englisch |
| Veröffentlicht: |
2015
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| In: |
Women in Numbers Europe
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| DOI: | 10.1007/978-3-319-17987-2_1 |
| Schlagworte: | |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/978-3-319-17987-2_1 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-319-17987-2_1 
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| Verfasserangaben: | Cristina Ballantine, Brooke Feigon, Radhika Ganapathy, Janne Kool, Kathrin Maurischat, and Amy Wooding |
MARC
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| 520 | |a We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of \mathrm{SU}_{3}(\mathbb{Q}_{p})SU3(Qp)\mathrm{SU}_{3}(\mathbb{Q}_{p}). To make the graphs finite, we take successive quotients by infinitely many discrete co-compact subgroups of decreasing size. | ||
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