Some Elementary Ramanujan Graphs

Paul E. Gunnells

Type: Article

Publication Date: 2005-04-01

Citations: 12

DOI: https://doi.org/10.1007/s10711-005-0549-0

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Geometriae Dedicata - View

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Works That Cite This (12)

Action	Title	Year	Authors
+	Proper Jordan schemes exist. First examples, computer search, patterns of reasoning. An essay	2019	Mikhail Klin Mikhail Muzychuk Sven Reichard
+	The spectrum of Platonic graphs over finite fields	2007	Michelle DeDeo Dominic Lanphier Marvin Minei
+ PDF Chat	New and explicit constructions of unbalanced Ramanujan bipartite graphs	2021	Shantanu Prasad Burnwal Kaneenika Sinha M. Vidyasagar
+	Some Observations about Ramanujan Graphs With Applications to Matrix Completion	2019	Shantanu Prasad Butnwal M. Vidyasagar
+ PDF Chat	Trivalent expanders, $(\Delta – Y)$-transformation, and hyperbolic surfaces	2019	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+ PDF Chat	Isoperimetric Numbers of Regular Graphs of High Degree with Applications to Arithmetic Riemann Surfaces	2011	Dominic Lanphier Jason Rosenhouse
+	Regular coverings and parallel products of Farey maps	2021	Margaret Stanier
+ PDF Chat	Ramanujan graphs on cosets of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>PGL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>	2005	Wen-Ching Winnie Li Yotsanan Meemark
+ PDF Chat	Unimodular graphs and Eisenstein sums	2016	Bogdan Nica
+	New and Explicit Constructions of Unbalanced Ramanujan Bipartite Graphs	2019	Shantanu Prasad Burnwal Kaneenika Sinha M. Vidyasagar

Works Cited by This (13)

Action	Title	Year	Authors
+	Some Applications of Modular Forms	1990	Peter Sarnak
+	Spectral geometry and the Cheeger constant	1993	Robert Brooks
+	Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen.	1907	J. Schur
+	Hecke operators and distributing points on the sphere I	1986	Alexander Lubotzky Ralph S. Phillips Peter Sarnak
+	Hecke operators and distributing points on <i>S</i><sup>2</sup>. II	1987	Alexander Lubotzky Ralph S. Phillips Peter Sarnak
+	Finite analogues of Euclidean space	1996	A. Medrano P. Myers H. Stärk Audrey Terras
+	Character sums and abelian Ramanujan graphs	1992	Wen-Ching Winnie Li Keqin Feng
+	On the Order-Seven Transformation of Elliptic Functions	1999	Félix Klein
+	Drawing Curves Over Number Fields	2007	G. B. Shabat Vladimir Voevodsky
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura