On almost distance-regular graphs

Beezer, 1991, Distance polynomial graphs, 51 Biggs, 1994 Bloom, 1981, Distance degree regular graphs, 95 Brouwer, 1989 Dalfó, 2009, On k-walk-regular graphs, Electron. J. Combin., 16, 10.37236/136 Dalfó, 2010, Characterizing (ℓ,m)-walk-regular graphs, Linear Algebra Appl., 433, 1821, 10.1016/j.laa.2010.06.042 van Dam, 2006, Characterizing distance-regularity of graphs by the spectrum, J. Combin. Theory Ser. A, 113, 1805, 10.1016/j.jcta.2006.03.008 van Dam, 2008, The spectral excess theorem for distance-regular graphs: a global (over)view, Electron. J. Combin., 15, 10.37236/853 Fiol, 2002, Algebraic characterizations of distance-regular graphs, Discrete Math., 246, 111, 10.1016/S0012-365X(01)00255-2 Fiol, 2010, A simple proof of the spectral excess theorem for distance-regular graphs, Linear Algebra Appl., 432, 2418, 10.1016/j.laa.2009.07.030 Fiol, 1998, The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs, Discrete Appl. Math., 87, 77, 10.1016/S0166-218X(98)00050-X Fiol, 1997, From local adjacency polynomials to locally pseudo-distance-regular graphs, J. Combin. Theory Ser. B, 71, 162, 10.1006/jctb.1997.1778 Fiol, 1999, On the algebraic theory of pseudo-distance-regularity around a set, Linear Algebra Appl., 298, 115, 10.1016/S0024-3795(99)00154-8 Fiol, 1996, Locally pseudo-distance-regular graphs, J. Combin. Theory Ser. B, 68, 179, 10.1006/jctb.1996.0063 Fiol, 2001, Boundary graphs: The limit case of a spectral property, Discrete Math., 226, 155, 10.1016/S0012-365X(00)00184-9 Godsil, 1993 Godsil, 1980, Feasibility conditions for the existence of walk-regular graphs, Linear Algebra Appl., 30, 51, 10.1016/0024-3795(80)90180-9 Hilano, 1984, Distance degree regular graphs, J. Combin. Theory Ser. B, 37, 96, 10.1016/0095-8956(84)90050-9 Hoffman, 1963, On the polynomial of a graph, Amer. Math. Monthly, 70, 30, 10.2307/2312780 Huang Klin, 2009, Higmanian rank-5 association schemes on 40 points, Michigan Math. J., 58, 255, 10.1307/mmj/1242071692 Martin, 2009, Commutative association schemes, European J. Combin., 30, 1497, 10.1016/j.ejc.2008.11.001 McKay, 1979, The current status of the generalised Moore graph problem, vol. VI, 21 Powers, 1991, Partially distance-regular graphs, vol. 2, 991 Rowlinson, 1997, Linear algebra, vol. 5, 86 Royle Sampels, 2004, Vertex-symmetric generalized Moore graphs, Discrete Appl. Math., 138, 195, 10.1016/S0166-218X(03)00294-4 Weichsel, 1982, On distance-regularity in graphs, J. Combin. Theory Ser. B, 32, 156, 10.1016/0095-8956(82)90031-4