Combinatorial Mathematics, Optimal Designs and Their Applications

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Content: Managing Editor Page ii Edited by Page iii Copyright page Page iv Preface Pages v-vi Jaya Srivastava Results and Problems in Galois Geometry Original Research Article Pages 1-5 Adriano Barlotti Combinatorial Problems of Experimental Design II: Factorial Designs Original Research Article Pages 7-18 R.C. Bose Partial λ-Geometries of Small Nexus Original Research Article Pages 19-29 Peter J. Cameron, David A. Drake A Characterization of Group-Divisible Designs and Some Related Results Original Research Article Pages 31-39 Ching-Shui Cheng, Len J. Gray On Permutation Cliques Original Research Article Pages 41-55 M. Deza Some Properties of Perfect Matroid Designs Original Research Article Pages 57-76 M. Deza, N.M. Singhi A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers Original Research Article Pages 77-87 Duminique Dumont, Gérard Viennot A Survey of Problems in Combinatorial Number Theory Original Research Article Pages 89-115 Paul Erdös Residually-Complete Graphs Original Research Article Pages 117-123 Paul Erdös, Frank Harary, Maria Klawe A Combinatorial Proof of Jacobi's Identity Original Research Article Pages 125-135 Dominique Foata From Nim to Go Original Research Article Pages 137-156 Aviezri S. Fraenkel Configurations in a Plane of Order Ten Original Research Article Pages 157-174 Marshall Hall Jr. Construction of Optimal Codes and Optimal Fractional Factorial Designs Using Linear Programming Original Research Article Pages 175-188 Noboru Hamada, Fumikazu Tamari Combinatorial Topology and the Trade Off Method in Bib Designs Original Research Article Pages 189-200 A. Hedayat, Shuo-Yen Robert Li Block Designs with Cyclic Block Structure Original Research Article Pages 201-214 Franz Hering On Restricted Bases for Finite Fields Original Research Article Pages 215-217 S.A. Joni, G.-C. Rota Partitioning of the Minimum Essential Set Construction Problem Original Research Article Pages 219-224 Aram K. Kevorkian Optimal Design Theory in Relation to Combinatorial Design Original Research Article Pages 225-241 J. Kiefer The Asymptotic Number of Lattices Original Research Article Pages 243-249 D.J. Kleitman, K.J. Winston A New Statistics on Words Original Research Article Pages 251-255 A. Lascoux, M.P. Schützenberger Some Results on the Existence of Squares Original Research Article Pages 257-274 R.C. Mullin, P.J. Schellenberg, D.R. Stinson, S.A. Vanstone Intersection Graphs of k-Uniform Hypergraphs Original Research Article Pages 275-279 R. Naik, S.S. Shrikhande, S.B. Rao, N.M. Singhi On Some Enumeration Problems in Graph Theory Original Research Article Pages 281-288 Pushpa N. Rathie Some Remarks on Amicable Orthogonal Designs Original Research Article Pages 289-291 Jennifer Seberry On the Number of Nonisomorphic Designs in a Repeated Measurement Experiment Original Research Article Pages 293-300 Esther Seiden Intersection Theorems on Structures Original Research Article Pages 301-313 Miklós Simonovits, Vera T. Sós Enumeration and Representation of Nonisomorphic Bipartite Graphs Original Research Article Pages 315-332 J.N. Srivastava, S. Ghosh Decompositions of Rational Convex Polytopes Original Research Article Pages 333-342 Richard P. Stanley Rotors in Graph Theory Original Research Article Pages 343-347 W.T. Tutte Embedding Graphs in the Plane—Algorithmic Aspects Original Research Article Pages 349-384 S.G. Williamson Hyperclaw Decomposition of Complete Hypergraphs Original Research Article Pages 385-391 Sumiyasu Yamamoto, Shinsei Tazawa