Graphs (networks) with golden spectral ratio

Diestel, 2000

Rovelli, 2004

Nicolai, 2005, Loop quantum gravity: an outside view, Class Quantum Grav, 22, R193, 10.1088/0264-9381/22/19/R01

Nakanishi, 1971

Kuchment, 2002, Graph models for waves in thin structures, Waves Random Media, 12, R1, 10.1088/0959-7174/12/4/201

Gnotzmann, 2006, Quantum graphs: applications to quantum chaos and universal spectral statistics, Adv Phys, 55, 527, 10.1080/00018730600908042

Balaban, 1976

Trinajstić, 1992

2002

Ueda, 1999, Graph-theoretical approach for quantifying galaxy distributions in a cold dark matter universe, Astrophys J, 526, 560, 10.1086/308004

Ueda, 2003, A graph-theoretical approach for comparison of observational galaxy distributions with cosmological N-body simulations, Astron Astrophys, 399, 1, 10.1051/0004-6361:20021607

Livio, 2002

Mauldin, 1986, Random recursive constructions: asymptotic geometric and topological properties, Trans Am Math Soc, 295, 325, 10.1090/S0002-9947-1986-0831202-5

El Naschie, 1998, Superstrings, knots and non-commutative geometry in E(∞) space, Int J Theor Phys, 12, 2935, 10.1023/A:1026679628582

El Naschie, 1999, The golden mean in quantum geometry, knot theory and related topics, Chaos, Solitons & Fractals, 8, 1303, 10.1016/S0960-0779(98)00167-2

El Naschie, 2005, A guide to the mathematics of E(∞) Cantorian spacetime theory, Chaos, Solitons & Fractals, 25, 955, 10.1016/j.chaos.2004.12.033

Sigalotti, 2006, The golden ratio in special relativity, Chaos, Solitons & Fractals, 30, 521, 10.1016/j.chaos.2006.03.005

El Naschie, 2007, Hilbert space, Poincaré dodecahedron and golden mean transfiniteness, Chaos, Solitons & Fractals, 31, 787, 10.1016/j.chaos.2006.06.003

Biggs, 1993

Van Dam, 1995, Regular graphs with four eigenvalues, Linear Alg Appl, 226-228, 139, 10.1016/0024-3795(94)00346-F

Van Dam, 1998, Small regular graphs with four eigenvalues, Discrete Math, 189, 233, 10.1016/S0012-365X(98)00085-5

Van Dam, 2003, Which graphs are determined by their spectrum?, Linear Alg Appl, 373, 241, 10.1016/S0024-3795(03)00483-X

Cvetković, 1982

Beth, 1986

1996

Colbourn, 1999

Vajda, 1989

Hoory, 2006, Expander graphs and their applications, Bull Am Math Soc, 43, 439, 10.1090/S0273-0979-06-01126-8

Lubotzky, 1988, Ramanujan graphs, Combinatorica, 9, 261, 10.1007/BF02126799

Ram Murty, 2003, Ramanujan graphs, J Ramanujan Math Soc, 18, 1

Barahona, 2002, Synchronization in small-world networks, Phys Rev Lett, 89, 054101, 10.1103/PhysRevLett.89.054101

Donetti, 2005, Entangled networks, super-homogeneity and optimal network topology, Phys Rev Lett, 95, 188701, 10.1103/PhysRevLett.95.188701

Donetti, 2006, Optimal network topologies: expanders, cages, Ramanujan graphs, entangled networks and all that, J Stat Mech, P08007, 10.1088/1742-5468/2006/08/P08007

These graphs are reported in Ref. [29], pp. 276–310.

Rücker, 2002, On kites, comets, and stars. Sum of eigenvector coefficients in (molecular) graphs, Z Naturforsch, 57a, 143, 10.1515/zna-2002-3-406

Holton, 1993