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This is a survey of distance-regular graphs.
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Neumaier, A., Strongly regular graphs with smallest eigenvalue − m -m , Arch. Math
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Bloom, G.S., Quintas, L.W., Kennedy, J.W., Distance degree regular graphs, The Theory and Applications of Graphs, Proceedings of the 4th international conference on the theory and applications of graphs, Kallamazoo, 1980
1981
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Brouwer, A.E., The nonexistence of a regular near hexagon on 1408 1408 points, Math. Centr. Report
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Stanton, D., Three addition theorems for some q q -Krawtchouk polynomials, Geom. Dedicata
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Moon, A., Characterization of the odd graphs O k O_{k} by parameters, Discrete Math
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Terwilliger, P., Eigenvalue multiplicities of highly symmetric graphs, Discrete Math
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Weichsel, P.M., On distance-regularity in graphs, J. Combin. Theory Ser. B
1982
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Brouwer, A.E., On the uniqueness of a certain thin near octagon (or partial 2 2 -geometry, or parallelism) derived from the binary Golay code, IEEE Trans. Inform. Theory
1983
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Brouwer, A.E., Wilbrink, H.A., The structure of near polygons with quads, Geom. Dedicata
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Chvátal, V., Mastermind, Combinatorica
1983
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Ivanov, A.A., Bounding the diameter of a distance-regular graph, Dokl. Akad. Nauk SSSR
1983
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Simon, H.-U., A tight Ω ( log log n ) \Omega(\log\log n) -bound on the time for parallel RAMs to compute nondegenerated Boolean functions, Foundations of Computation Theory
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Terwilliger, P., Distance-regular graphs and ( s , c , a , k ) (s,c,a,k) -graphs, J. Combin. Theory Ser. B
1983
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Bannai, E., Ito, T., Algebraic Combinatorics I: Association Schemes
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Hemmeter, J., Halved graphs, Johnson and Hamming graphs, Utilitas Math
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Hilano, T., Nomura, K., Distance degree regular graphs, J. Combin. Theory Ser. B
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Van Slijpe, A.R.D., Random walks on regular polyhedra and other distance-regular graphs, Stat. Neerl
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Egawa, Y., Association schemes of quadratic forms, J. Combin. Theory Ser. A
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Mohar, B., Shawe-Taylor, J., Distance-biregular graphs with 2-valent vertices and distance-regular line graphs, J. Combin. Theory Ser. B
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Stanton, D., Harmonics on posets, J. Combin. Theory Ser. A
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Terwilliger, P., Distance-regular graphs with girth 3 3 or 4 4 : I, J. Combin. Theory Ser. B
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Terwilliger, P., Counting 4 4 -vertex configurations in P P - and Q Q -polynomial association schemes, Algebras Groups Geom
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Faradjev, I.A., Ivanov, A.A., Ivanov, A.V., Distance-transitive graphs of valency 5, 6 and 7, European J. Combin
1986
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Hemmeter, J., Distance-regular graphs and halved graphs, European J. Combin
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Munemasa, A., An analogue of t t -designs in the association schemes of alternating bilinear forms, Graphs Combin
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Stanton, D., t t -Designs in classical association schemes, Graphs Combin
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Terwilliger, P., A class of distance-regular graphs that are Q Q -polynomial, J. Combin. Theory Ser. B
1986
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Bannai, E., Ito, T., On distance-regular graphs with fixed valency, Graphs Combin
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Bier, T., A family of nonbinary linear codes, Discrete Math
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Chihara, L., On the zeros of the Askey-Wilson polynomials, with applications to coding theory, SIAM J. Math. Anal
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Diaconis, P., Shahshahani, M., Time to reach stationarity in the Bernoulli-Laplace diffusion model, SIAM J. Math. Anal
1987
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Fuglister, F.J., On generalized Moore geometries I, II, Discrete Math
1987
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Godsil, C.D., Shawe-Taylor, J., Distance-reguralised graphs are distance-regular or distance-biregular, J. Combin. Theory Ser. B
1987
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Huang, T., A characterization of the association schemes of bilinear forms, European J. Combin
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Teirlinck, L., Nontrivial t t -designs without repeated blocks exist for all t t , Discrete Math
1987
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Terwilliger, P., Root systems and the Johnson and Hamming graphs, European J. Combin
1987
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Terwilliger, P., A characterization of P P - and Q Q -polynomial association schemes, J. Combin. Theory Ser. A
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Terwilliger, P., P P and Q Q polynomial schemes with q = − 1 q=-1 , J. Combin. Theory Ser. B
1987
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Van Bon, J.T.M., Brouwer, A.E., The distance-regular antipodal covers of classical distance-regular graphs, Combinatorics
1988
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Brouwer, A.E., Neumaier, A., A remark on partial linear spaces of girth 5 with an application to strongly regular graphs, Combinatorica
1988
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Godsil, C.D., Bounding the diameter of distance-regular graphs, Combinatorica
1988
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Hemmeter, J., The large cliques in the graph of quadratic forms, European J. Combin
1988
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Powers, D.L., Eigenvectors of distance-regular graphs, SIAM J. Matrix Anal. Appl
1988
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Powers, D.L., Semiregular graphs and their algebra, Linear Multilinear Algebra
1988
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Terwilliger, P., The classification of distance-regular graphs of type IIB, Combinatorica
1988
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Terwilliger, P., Balanced sets and Q Q -polynomial association schemes, Graphs Combin
1988
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Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs
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1989
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Zhu, R.R., Distance-regular graphs and eigenvalue multiplicities
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Brouwer, A.E., The Soicher graph - an antipodal 3 3 -cover of the second subconstituent of the McLaughlin graph, manuscript (1990)
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Hemmeter, J., Woldar, A., Classification of the maximal cliques of size ≥ q + 4 \geq q+4 in the quadratic forms graph in odd characteristic, European J. Combin
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Lambeck, E.W., Contributions to the theory of distance regular graphs
1990
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Neumaier, A., Krein conditions and near polygons, J. Combin. Theory Ser. A
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Suzuki, H., Bounding the diameter of a distance regular graph by a function of k d k_{d} , Graphs Combin
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Brouwer, A.E., Hemmeter, J., A new family of distance-regular graphs and the { 0 , 1 , 2 } \{0,1,2\} -cliques in dual polar graphs, European J. Combin
1992
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Godsil, C.D., Krein covers of complete graphs, Australas. J. Combin
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1993
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Fon-Der-Flaass, D.G., A distance-regular graph with intersection array ( 5 , 4 , 3 , 3 , 1 , 1 , 1 , 2 ) (5,4,3,3;\penalty 1,1,1,2) does not exist, J. Algebraic Combin
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Godsil, C.D., Algebraic Combinatorics
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2015
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