X-Ramanujan Graphs
暂无分享,去创建一个
[1] D. Spielman,et al. Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem , 2013, 1306.3969.
[2] Alexander Lubotzky,et al. Discrete groups, expanding graphs and invariant measures , 1994, Progress in mathematics.
[3] R. Speicher. Free Probability Theory , 1996, Oberwolfach Reports.
[4] Paul Rochet,et al. Algebraic Combinatorics on Trace Monoids: Extending Number Theory to Walks on Graphs , 2016, SIAM J. Discret. Math..
[5] W. Li,et al. Spectra of Hypergraphs and Applications , 1996 .
[6] Pierre Cartier,et al. Problemes combinatoires de commutation et rearrangements , 1969 .
[7] Bojan Mohar,et al. A strengthening and a multipartite generalization of the Alon-Boppana-Serre theorem , 2010, 1002.1084.
[8] B. Mohar,et al. A Survey on Spectra of infinite Graphs , 1989 .
[9] O. J. Heilmann,et al. Theory of monomer-dimer systems , 1972 .
[10] Maike Massierer,et al. Ramanujan graphs in cryptography , 2018, IACR Cryptol. ePrint Arch..
[11] A. Lubotzky. HIGH DIMENSIONAL EXPANDERS , 2017, Proceedings of the International Congress of Mathematicians (ICM 2018).
[12] Nikhil Srivastava,et al. Interlacing Families IV: Bipartite Ramanujan Graphs of All Sizes , 2015, 2015 IEEE 56th Annual Symposium on Foundations of Computer Science.
[13] Frank Thomson Leighton,et al. Finite common coverings of graphs , 1982, J. Comb. Theory, Ser. B.
[14] N. Linial,et al. DISCREPANCY AND NEARLY OPTIMAL SPECTRAL GAP * , .
[15] H. Bass,et al. Uniform tree lattices , 1990 .
[16] Chris D. Godsil,et al. ALGEBRAIC COMBINATORICS , 2013 .
[17] Audra E. Kosh,et al. Linear Algebra and its Applications , 1992 .
[18] Audrey Terras,et al. Zeta Functions of Graphs: A Stroll through the Garden , 2010 .
[19] W. L. Paschke. Lower bound for the norm of a vertex-transitive graph , 1993 .
[20] Frank Harary,et al. Graph Theory , 2016 .
[21] K. Hashimoto. Zeta functions of finite graphs and representations of p-adic groups , 1989 .
[22] Sidhanth Mohanty,et al. The SDP value for random two-eigenvalue CSPs , 2019, STACS.
[23] R. Lathe. Phd by thesis , 1988, Nature.
[24] G. Viennot. Heaps of Pieces, I: Basic Definitions and Combinatorial Lemmas , 1989 .
[25] B. Mohar. The spectrum of an infinite graph , 1982 .
[26] Jonathan Leake,et al. Mixed determinants and the Kadison–Singer problem , 2016, Mathematische Annalen.
[27] Noga Alon,et al. Eigenvalues and expanders , 1986, Comb..
[28] B. M. Fulk. MATH , 1992 .
[29] S. A. Amitsur. On the characteristic polynomial of a sum of matrices , 1980 .
[30] S. Caracciolo,et al. Grassmann integral representation for spanning hyperforests , 2007, 0706.1509.
[31] Nikhil Srivastava,et al. Interlacing families III: Sharper restricted invertibility estimates , 2017, Israel Journal of Mathematics.
[32] Patrick Solé,et al. Spectra of Regular Graphs and Hypergraphs and Orthogonal Polynomials , 1996, Eur. J. Comb..
[33] W. Li,et al. Number theory with applications , 1996 .
[34] Chris Hall,et al. Ramanujan coverings of graphs , 2016, STOC.
[35] Alexander Lubotzky,et al. Not Every Uniform Tree Covers Ramanujan Graphs , 1998, J. Comb. Theory, Ser. B.
[36] Willem H. Haemers,et al. Spectra of Graphs , 2011 .
[37] C. Krattenthaler,et al. THE THEORY OF HEAPS AND THE CARTIER–FOATA MONOID , 2022 .
[39] Meinolf Geck,et al. Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras , 2000 .
[40] Nikhil Srivastava,et al. Finite free convolutions of polynomials , 2015, Probability Theory and Related Fields.
[41] Rostislav I. Grigorchuk,et al. On the asymptotic spectrum of random walks on infinite families of graphs , 1997 .
[42] J. A. Rodríguez,et al. Linear and Multilinear Algebra , 2007 .
[43] Nicolas Bourbaki,et al. Groupes et algèbres de Lie , 1971 .
[44] Nathan Linial,et al. Lifts, Discrepancy and Nearly Optimal Spectral Gap* , 2006, Comb..
[45] G. Quenell. Combinatorics of free product graphs , 1994 .
[46] Michael Doob,et al. Spectra of graphs , 1980 .
[47] P. Sarnak,et al. Super-Golden-Gates for PU(2) , 2017, 1704.02106.
[48] Andrea Montanari,et al. The threshold for SDP-refutation of random regular NAE-3SAT , 2018, SODA.
[49] Nikhil Srivastava,et al. Interlacing Families I: Bipartite Ramanujan Graphs of All Degrees , 2013, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science.
[50] W. Woess. Random walks on infinite graphs and groups, by Wolfgang Woess, Cambridge Tracts , 2001 .
[51] P. Cochat,et al. Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.
[52] Jean-Pierre Serre,et al. Répartition asymptotique des valeurs propres de l’opérateur de Hecke _ , 1997 .
[53] Alicia J. Koll'ar,et al. Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics , 2019, Communications in Mathematical Physics.
[54] A. C. Aitken,et al. Determinants and matrices , 1940 .
[55] Peter L. Hammer,et al. Discrete Applied Mathematics , 1993 .
[56] Chris D. Godsil. Matchings and walks in graphs , 1981, J. Graph Theory.
[57] Moshe Morgenstern,et al. Existence and Explicit Constructions of q + 1 Regular Ramanujan Graphs for Every Prime Power q , 1994, J. Comb. Theory, Ser. B.
[58] N. Linial,et al. Lifts, Discrepancy and Nearly Optimal Spectral Gaps , 2003 .