Explicit construction of a Ramanujan \((n_1,n_2,\dots,n_{d-1})\)-regular hypergraph

DOI10.1215/S0012-7094-07-13913-9zbMath1180.11016OpenAlexW2080577015MaRDI QIDQ2642231

Alireza Sarveniazi

Publication date: 20 August 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-07-13913-9

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75) Discrete subgroups of Lie groups (22E40) Buildings and the geometry of diagrams (51E24) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Ramanujan complexes and golden gates in \(PU(3)\), Overlap properties of geometric expanders, Spectrum and combinatorics of two-dimensional Ramanujan complexes, Riemann hypothesis and strongly Ramanujan complexes from \(\mathrm{GL}_{n}\), Mixing in High-Dimensional Expanders, Cayley graph expanders and groups of finite width., Zeta functions of complexes arising from \(\mathrm{PGL}(3)\), Ramanujan complexes and high dimensional expanders, Spectra of random regular hypergraphs, On non-uniform Ramanujan complexes, The Ramanujan conjecture and its applications, From Ramanujan graphs to Ramanujan complexes

Cites Work

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• Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).
• Some special functions over \(GF (q,x)\)
• Ramanujan complexes of type \(\widetilde A_d\)
• Ramanujan graphs
• Arithmétique des algèbres de quaternions
• A family of \(\widetilde A_n\)-groups
• Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
• Theory of non-commutative polynomials
• Ramanujan hypergraphs
• On certain functions connected with polynomials in a Galois field
• A set of polynomials
• Buildings: Main Ideas and Applications I. Main Ideas
• On polynomials in a Galois field
• Finite-Dimensional Division Algebras over Fields